Question

Given Δ Q R S ≅ Δ T U V , Q S = 3 v + 2 and T V = 7 v − 6 , find the length of QS and TV.enter your answer and show all the steps that you use to solve this problem

Answer 1

Answer:

Therefore length of QS and TV is 8 units.

Step-by-step explanation:

Δ Q R S ≅ Δ T U V ,

Q S = 3 v + 2 and

T V = 7 v − 6

To Find:

QS = ?

TV = ?

Solution:

Δ Q R S ≅ Δ T U V .........Given

If two triangles are congruent  then the Corresponding Parts of Congruent Triangles are Congruent.

QS ≅ TV   ..........................CPCTC

Substituting the values we get

$3v+2=7v-6\\\\7v-3v=2+6\\\\4v=8\\\\\therefore v=\dfrac{8}{4}\\\\v=2$

Substituting ' v ' in QS and TV we get

$QS=3\times 2 +2=8\\and\\TV=7\times 2-6=8$

Therefore length of QS and TV is 8 units.