Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The perimeter of a right triangle is 132 cm. and the sum of the squares of its sides is 6050 cm². What is the sum of the perpendicular sides –

77 cm
55 cm
44 cm
33 cm

The correct answer is: 77 cm

We should find the sum of the perpendicular sides
let the sides be a b and c where c is the hypotenuse.
a²+b²=c²
the sum of squares of its sides is 6050.
a²+b²+c²=6050
a²+b²+a²+b²=6050
2(a²+b²)=6050
a²+b²=3025
c²=3025
c=√3025=55
The perimeter of a right triangle is 132cm.
a+b+c=132
a+b+55=132
a+b=77

Hence Choice 1 is correct

Related Questions to study

In figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm, calculate the length of BC

For such questions, we should know the Pythagoras theorem of a triangle.

In figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm, calculate the length of BC

For such questions, we should know the Pythagoras theorem of a triangle.

In DABC, AD is the median through A and E is the produced meets in F figure. Then the value of AF is equal to

Hence AF=(1/3)AC

In DABC, AD is the median through A and E is the produced meets in F figure. Then the value of AF is equal to

Hence AF=(1/3)AC

In the figure shown below, $angle B equals angle C equals 65 to the power of ring operator end exponent$ and $angle D equals 35 to the power of ring operator end exponent$ . Which one of the following is a true statement?

Hence Choice 1 is correct

In the figure shown below, $angle B equals angle C equals 65 to the power of ring operator end exponent$ and $angle D equals 35 to the power of ring operator end exponent$ . Which one of the following is a true statement?

Hence Choice 1 is correct

parallel

One of the angles of a triangle is $65 to the power of ring operator end exponent$ . If the difference of other two angles is $25 to the power of ring operator end exponent$ , the largest angle of this triangle has a measure of

One of the angles of a triangle is $65 to the power of ring operator end exponent$ . If the difference of other two angles is $25 to the power of ring operator end exponent$ , the largest angle of this triangle has a measure of

In figure $angle X equals 62 to the power of ring operator end exponent comma angle X Y Z equals 54 to the power of ring operator end exponent$ If YO and ZO are bisectors of $angle X Y Z$ and $angle X Z Y$ respectively of $capital delta X Y Z$ , find $angle Y O Z$

Hence choice 4 is correct

In figure $angle X equals 62 to the power of ring operator end exponent comma angle X Y Z equals 54 to the power of ring operator end exponent$ If YO and ZO are bisectors of $angle X Y Z$ and $angle X Z Y$ respectively of $capital delta X Y Z$ , find $angle Y O Z$

Hence choice 4 is correct

In figure if $Q T perpendicular P R comma angle T Q R equals 40 to the power of ring operator end exponent$ and $angle S P R equals 30 to the power of ring operator end exponent$ , find x and y.

Hence choice 2 is correct

In figure if $Q T perpendicular P R comma angle T Q R equals 40 to the power of ring operator end exponent$ and $angle S P R equals 30 to the power of ring operator end exponent$ , find x and y.

Hence choice 2 is correct

parallel

In Figure. PS is the bisector of $angle Q P R$ and $P T perpendicular Q R$ . Then $angle T P S$ is equal to

Hence Choice 2 is correct

In Figure. PS is the bisector of $angle Q P R$ and $P T perpendicular Q R$ . Then $angle T P S$ is equal to

Hence Choice 2 is correct

Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Choose the correct statement:

Statement I: Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.
Statement II: Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane. Statement III: Work done by external agent to move block slowly from position B to O is negative

Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Choose the correct statement:

Statement I: Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.
Statement II: Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane. Statement III: Work done by external agent to move block slowly from position B to O is negative

physics-General

Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10 $m divided by s to the power of 2 end exponent$ ):

Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10 $m divided by s to the power of 2 end exponent$ ):

physics-General

parallel

A collar 'B' of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5m. The spring lying in the plane of the circular track and having spring constant 200 $N divided by m$ is undeformed when the collar is at 'A'. If the collar starts from rest at B' the normal reaction exerted by the track on the collar when it passes through 'A' is:

A collar 'B' of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5m. The spring lying in the plane of the circular track and having spring constant 200 $N divided by m$ is undeformed when the collar is at 'A'. If the collar starts from rest at B' the normal reaction exerted by the track on the collar when it passes through 'A' is:

physics-General

The blocks A and B shown in the figure have masses $M subscript A end subscript equals 5 k g text and end text M subscript B end subscript equals 4 k g$ . The system is released from rest. The speed of B after A has travelled a distance 1 m along the incline is:

The blocks A and B shown in the figure have masses $M subscript A end subscript equals 5 k g text and end text M subscript B end subscript equals 4 k g$ . The system is released from rest. The speed of B after A has travelled a distance 1 m along the incline is:

physics-General

Two bodies of mass $m subscript 1 end subscript text and end text m subscript 2 end subscript open parentheses m subscript 2 end subscript greater than m subscript 1 end subscript close parentheses$ are connected by a light inextensible string which passes through a smooth fixed pulley. The instantaneous power delivered by an external agent to pull $m subscript 1 end subscript$ with constant velocity v is:

Two bodies of mass $m subscript 1 end subscript text and end text m subscript 2 end subscript open parentheses m subscript 2 end subscript greater than m subscript 1 end subscript close parentheses$ are connected by a light inextensible string which passes through a smooth fixed pulley. The instantaneous power delivered by an external agent to pull $m subscript 1 end subscript$ with constant velocity v is:

physics-General

parallel

A small block slides with velocity $0.5 square root of g r end root$ on the horizontal frictionless surface as shown in the figure. The block leaves the surface at point C. The angle q in the figure is:

A small block slides with velocity $0.5 square root of g r end root$ on the horizontal frictionless surface as shown in the figure. The block leaves the surface at point C. The angle q in the figure is:

physics-General

A bob hangs from a rigid support by an inextensible string of length $l text end text$ If it is displaced through a distance $l text . end text$ (from the lowest position) keeping the string straight & released, the speed of the bob at the lowest position is:

A bob hangs from a rigid support by an inextensible string of length $l text end text$ If it is displaced through a distance $l text . end text$ (from the lowest position) keeping the string straight & released, the speed of the bob at the lowest position is:

physics-General

The angle of rotation of the axes so that the equation $x plus y minus 6 equals 0$ may be reduced to the form $X equals 3 square root of 2 text is end text$

The angle of rotation of the axes so that the equation $x plus y minus 6 equals 0$ may be reduced to the form $X equals 3 square root of 2 text is end text$

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.