Question

What is the length of side PQ?

Answer 1

64; Line pq is correspondent with line ab and triangle PQR is 4 time as big as triangle ABC.

Answer 2

Answer: The length of PQ = 64

Explanation:

We are given that ΔPQR and ΔABC are similar right triangles .

Since, we know that the corresponding sides of similar triangles are proportional.

Therefore, we get

`(PQ)/(AB)=(QR)/(BC)\\\\\Rightarrow(PQ)/(16)=(80)/(20)\\\\\Rightarrow\ PQ=4*16\\\\\Rightarrow\ PQ=64`

Hence, the length of side PQ = 64 units