Question

in triangle pqr angle P is equal to 60 degree angle Q is equal to 90 degree and and PR is equal to 15 cm find PQ​

Answer 1

In triangle PQR,

Q=90

P=60

PR = 15 cm

Therefore, PQR is right angled triangle

Cos p = PQ/PR

Cos 60 = PQ/ 15 [PR=15 cm]

1/2 = PQ/15

Thus PQ = 15/2 = 7.5 cm.

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Answer 2

The measure of PQ is 7.5 cm.

Step-by-step explanation:

Given information: ∠P=60°, ∠Q=90° and PR=15 cm.

∠Q=90° is means triangle PQR is aright angled triangle.

In a right angle triangle

$\cos \theta =\dfrac{adjacent}{hypotenuse}$

In triangle PQR,

$\cos P =\dfrac{PQ}{PR}$

$\cos (60) =\dfrac{PQ}{15}$

$\dfrac{1}{2}=\dfrac{PQ}{15}$

Multiply both sides by 15.

$\dfrac{15}{2}=PQ$

$7.5=PQ$

Therefore, the measure of PQ is 7.5 cm.

#Learn more

In a right angle triangle pqr angle Q is equal to 90 degree if PQ is equal to 15 CM QR is equal to 8 centimeter find PR​.

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