Maths-

General

Easy

Question

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

- 15 cm
- 18 cm
- 21 cm
- 12 cm

Hint:

### We are given a right-angled triangle ABC. We are given two of its side. Angle B is 90°. We have to find the remaining side. We will use Pythagoras theorem to find the solution.

## The correct answer is: 12 cm

### The given triangle is ABC.

The given values are ∠ABC = 90°

AB = 9 cm

AC = 15 cm.

For the given triangle AC is the hypotenuse.

We will use Pythagoras theorem to solve the question.

Pythagoras theorem states that the sum of the square of two sides is equal to the square of the hypotenuse.

AC^{2} = AB^{2} + BC^{2}

We have to find the value of BC.

Substitute all the values.

15^{2} = 9^{2} + BC^{2}

225 = 81 + BC^{2}

Subtract 81 from both the sides and rearranging the equation for BC.

BC^{2} = 225 - 81

= 144

Take square root of both the sides.

BC = 12 cm.

So, the length of the remaining side is 12 cm.

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

### Related Questions to study

Maths-

### 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

Maths-General

Hence AF=(1/3)AC

Maths-

### In the figure shown below, and . Which one of the following is a true statement?

Hence Choice 1 is correct

### In the figure shown below, and . Which one of the following is a true statement?

Maths-General

Hence Choice 1 is correct

Maths-

### One of the angles of a triangle is . If the difference of other two angles is , the largest angle of this triangle has a measure of

### One of the angles of a triangle is . If the difference of other two angles is , the largest angle of this triangle has a measure of

Maths-General

Maths-

### In figure If YO and ZO are bisectors of and respectively of , find

Hence choice 4 is correct

### In figure If YO and ZO are bisectors of and respectively of , find

Maths-General

Hence choice 4 is correct

Maths-

### In figure if and , find x and y.

Hence choice 2 is correct

### In figure if and , find x and y.

Maths-General

Hence choice 2 is correct

Maths-

### In Figure. PS is the bisector of and . Then is equal to

Hence Choice 2 is correct

### In Figure. PS is the bisector of and . Then is equal to

Maths-General

Hence Choice 2 is correct

physics-

### 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

physics-

### 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 ):

### 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 ):

physics-General

physics-

### 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 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 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

physics-

### The blocks A and B shown in the figure have masses . 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 . The system is released from rest. The speed of B after A has travelled a distance 1 m along the incline is:

physics-General

physics-

### Two bodies of mass are connected by a light inextensible string which passes through a smooth fixed pulley. The instantaneous power delivered by an external agent to pull with constant velocity v is:

### Two bodies of mass are connected by a light inextensible string which passes through a smooth fixed pulley. The instantaneous power delivered by an external agent to pull with constant velocity v is:

physics-General

physics-

### A small block slides with velocity 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 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

physics-

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

physics-General

Maths-

### The angle of rotation of the axes so that the equation may be reduced to the form

### The angle of rotation of the axes so that the equation may be reduced to the form

Maths-General

maths-

### By translation of axes the equation C=^{}

### By translation of axes the equation C=^{}

maths-General