Question

What is QR ? Enter your answer in the box. units

Answer 1

Answer-

$\boxed{\boxed{QR=12}}$

Solution-

Triangle Midpoint Theorem-

The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

As given in the question,

QV = SV, so V is the mid point of QS,

SU = RU, so R is the mid point of RS.

Hence, UV is the line joining the midpoints of QS and RS.

Applying Triangle Midpoint Theorem,

$\Rightarrow UV=\dfrac{1}{2}QR$

$\Rightarrow QR=2UV$

$\Rightarrow QR=2\times 6$

$\Rightarrow QR=12$

Therefore, the side length of QR is 12 units.

Answer 2

TR = 6
QR = 2(TR)
QR = 2(6)
QR = 12