Which of the following tringles are isosceles as well as obtuse angled triangles?

P and R only

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Q and R only

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P,R and S only

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P,Q and R only

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Solution

The correct option is A
P and R only

Obtuse angled triangle is the one in which one of the angles is obtuse. Isosceles triangle is the one in which two sides are equal.

1. Fig. P - is isosceles as well as obtuse angled as the vertex measures 130°.

2. Fig. Q - is isosceles as well as acute angled as the vertex measures 35°.

3. Fig. R - is isosceles as well as obtuse angled as the vertex measures 110°.

4. Fig. S - is isosceles as well as right angled isosceles triangle.

Hence, only P and R are obtuse isosceles triangles.

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