Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

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

Use △ ABC, where M, N, Q are midpoints of the sides.
MN = 3x + 8, BC = 2x + 24

hint Hint:

Use triangle midsegment theorem.

The correct answer is: MN = 14 and BC = 28.

Complete step by step solution:
A midsegment of a triangle is a segment that connects the midpoints of two sides of
a triangle. Its length is always half the length of the 3rd side of the triangle.
Here, MN is parallel to BC and $M N equals 1 half B C$
$not stretchy rightwards double arrow 3 x plus 8 equals 1 half cross times 2 left parenthesis x plus 12 right parenthesis$
$not stretchy rightwards double arrow 3 x plus 8 equals x plus 12$
$not stretchy rightwards double arrow 3 x minus x equals 12 minus 8$
$not stretchy rightwards double arrow 2 x equals 4$
$not stretchy rightwards double arrow x equals 2$
Now, MN = 3x + 8 = 3 × 2 + 8 = 14 and BC = 2x + 24 = 2 × 2 + 24 = 28.

Related Questions to study

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Right triangle: leg lengths are a and b.

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Right triangle: leg lengths are a and b.

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Rectangle: length is l and width is b.

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Rectangle: length is l and width is b.

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Square: side length is 4.

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Square: side length is 4.

parallel

Place the figure in a coordinate plane in a convenient way. Assign coordinates to each vertex. Isosceles right triangle: leg length is 5 units.

Place the figure in a coordinate plane in a convenient way. Assign coordinates to each vertex. Isosceles right triangle: leg length is 5 units.

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex. Right triangle: leg lengths are 3 units and 4 units.

Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex. Right triangle: leg lengths are 3 units and 4 units.

Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n +2 represents the total amount T , in dollars, Salim will pay for tickets. What does 12 represent in the equation?

Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n +2 represents the total amount T , in dollars, Salim will pay for tickets. What does 12 represent in the equation?

parallel

In △ PQR, DE is the midsegment.
Find the value of x and the length of side PQ.

In △ PQR, DE is the midsegment.
Find the value of x and the length of side PQ.

In△ ABC, AN = BN, BM = MC
Find AC.

In△ ABC, AN = BN, BM = MC
Find AC.

The segment connecting the midpoints of two sides of a
triangle is

The segment connecting the midpoints of two sides of a
triangle is

parallel

The segment connecting the midpoints of two sides of a
triangle is

The segment connecting the midpoints of two sides of a
triangle is

Every triangle has ___ mid-segments.

Every triangle has ___ mid-segments.

The simple interest on a fixed deposit of Rs. 4600 at the rate of 13% p.a. is Rs.3588. Find the term of the deposit.

The simple interest on a fixed deposit of Rs. 4600 at the rate of 13% p.a. is Rs.3588. Find the term of the deposit.

parallel

Ram borrowed Rs. 24000 from a bank for 3 years at the rate of 12% interest. Find the amount due from him after 3 years.

Ram borrowed Rs. 24000 from a bank for 3 years at the rate of 12% interest. Find the amount due from him after 3 years.

Ajay borrowed Rs 4225 from Amar. At the end of four years Ajay had to pay back Rs 6253. What was the rate of interest?

Ajay borrowed Rs 4225 from Amar. At the end of four years Ajay had to pay back Rs 6253. What was the rate of interest?

In how many years will a sum of Rs 5000 yield a simple interest of Rs 250 at the rate of 5% per annum?

In how many years will a sum of Rs 5000 yield a simple interest of Rs 250 at the rate of 5% per annum?

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.