In ΔPQR, Q= 90o, PQ = 8

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

In ΔPQR, Q= 90^o, PQ = 8 cm and ∠PRQ = 45^o. Find the length of QR.

Options:

6 cm

3 cm

5 cm

8 cm

Correct Answer:

8 cm

Explanation:

In ΔPQR, ∠Q = 90°,

PQ = 8 cm and ∠PRQ = 45°.

The sum of all angles of a triangle = 180°.

An isosceles triangle has both two equal sides and two equal angles.

Hence, PQ = QR = 8 cm