Question

Using the given information, solve for x. What is the length of AB? What is the length of RS?

Answer 1

Step-by-step explanation:

This is the easiest answer

Answer 2

The value of x is   6

The length of AB is  8

The length of RS is  16

Given that AB is the mid segment of ΔQRS.

• Therefore QA/QR = 1/2  = QB/QR

Also In ΔQAB and ΔQRS

• ∠A = ∠R

• ∠B = ∠S

Now ΔQAB ≈ ΔQRS

Therefore

• QA/QR = QB/QR =  AR/RS  

• 1/2 = x +2 / x +10

• x + 10 = 2x + 4

• x = 6

• Given AB = x+ 2 = 6 +2 = 8

• RS = x +10 = 6 +10 = 16