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kogti [31]
3 years ago
8

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

Mathematics
2 answers:
Neporo4naja [7]3 years ago
6 0

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.

Ivahew [28]3 years ago
3 0

Answer:

13 is the correct answer!

Step-by-step explanation:

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