Question

What is QR ?

Enter your answer in the box.

units

Answer 1

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

Answer 2

`\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=(1)/(2)QR`

`\Rightarrow QR=2UV`

`\Rightarrow QR=2* 6`

`\Rightarrow QR=12`

Therefore, the side length of QR is 12 units.