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Find the measure of side PQ. Round your answer to the nearest tenth.
HELP PLS

Find the measure of side PQ. Round your answer to the nearest tenth. HELP PLS-example-1

1 Answer

1 vote

Answer:

16.9 units

Explanation:

You want side length PQ in ∆PQR with QR=15, PR=13.3 and angle R=73°.

Law of Cosines

The law of cosines is useful for solving a triangle with two sides and the included angle given. It tells you ...

PQ² = QR² +PR² -2·QR·PR·cos(R)

Taking the square root gives ...

PQ = √(QR² +PR² -2·QR·PR·cos(R))

PQ = √(15² +13.3² -2·15·13.3·cos(73°)) ≈ 16.9

The measure of side PQ is about 16.9 units.

Find the measure of side PQ. Round your answer to the nearest tenth. HELP PLS-example-1
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