Question

PLEASE HELP!!!

Given triangle QRS is congruent to triangle TUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV.

Answer 1

The length of QS and TV is 8 units

Explanation:

we know that

If triangle QRS is congruent with triangle TUV

then

QS=TV

QR=TU

RS=UV

In this problem

we have

QS=3v+2

TV=7v-6

so

QS=TV

3v+2=7v-6

Solve for v

7v-3v=2+6

4v=8

v=2

Find the length of QS

substitute the value of v

QS=3(2)+2=8 units

so

TS=8 units