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Q.

In △PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest?


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a

PQ

b

QP

c

QR

d

PR 

answer is D.

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Detailed Solution

Given, in △PQR, ∠P = 70° and ∠R = 30°.
Draw a figure according to the question.
Question ImageUse the sum angle property i.e, the sum of angles in a triangle is 180°.
 ∠P + ∠Q + ∠R = 180°
 70° + ∠Q + 30° = 180°
 ∠Q = 80°
The side opposite to the larger angle in a triangle is the largest side of the triangle.
Thus, the longest side must be PR.
Hence, option 4 is correct.
 
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