Question

In right angled triangle PQR if hypotenuse PR is equal to 12 PQ is equal to 6 then what is the measure of angle P​

Answer 1

If hypotenuse PR = 12 & PQ = 6 of right angled triangle PQR, then the measure of angle P is 60°

Step-by-step explanation:

Referring to the figure attached below, we have,  

PQR is a right-angled triangle at angle Q  

Hypotenuse, PR = 12  

Side PQ = 6  

Since we have to calculate the value of angle P, so as per the figure side QR will be the perpendicular and side PQ will be the base .

Therefore, applying the trigonometric ratios of a triangle to the right-angled ∆ABC, we get

cos θ = base /hypotenuse  

⇒ cos P =  $\frac{PQ}{PR}$ ......... [here θ = ∠P]

⇒ cos P = $\frac{6}{12}$

⇒ cos P = ½  

⇒ P = cos⁻¹(½)

⇒ P = 60°

Thus, the measure of ∠P is 60°.

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Also View:

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Answer 2

Answer:

p = 60°

Step-by-step explanation:

PR = 12

PQ = 6

So ,

cos p  = $\frac{PQ}{PR}$        

cos p = $\frac{6}{12}$

$p = cos^{-1} (0.5)$

p = 60°