Question

Given: PQ ⊥ QR , PR=20, SR=11, QS=5 Find: The value of PS.

Answer 1

1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:

$PR^{2}=PQ^{2}+QR^{2}\\ PQ=\sqrt{PR^{2}-QR^{2}}\\ PQ=\sqrt{20^{2}-16^{2}} \\ PQ=12$

2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:

$PS=\sqrt{PQ^{2}+QS^{2}}=13$

Therefore, the answer is: The value of PS is 13.

Answer 2

Answer:

13 is the correct answer!

Step-by-step explanation: