Question

Determine the value of a. answers: A) 10 B) 6 C) 7 D) 70

Answer 1

C

Explanation:

Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!

Answer 2

a =7

Explanation:

The triangles are similar so we can use ratios

10 10

------ = --------

10+a 10+7

Since the numerators are the same, the denominators have to be the same

10+a = 10+7

a = 7