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ΔPQR is constructed such that PQ = 5 cm, PR = 5 cm, and ∠RPQ = 50°. Identify the type of triangle constructed.

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An isosceles triangle

An acute angled triangle

An obtuse-angled triangle

Both [a] and [b]

answer is D.

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Detailed Solution

Firstly, the given two sides i.e. PQ = 5 cm, PR = 5 cm are equal, which signifies the triangle is an isosceles triangle.

Secondly, the included angle i.e. ∠RPQ = 50° = an acute angle, signifies the triangle is an acute-angled triangle.

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