CAT 2023 Geometry & Mensuration Question (Hard)

Question

A triangle is drawn with its vertices on the circle such that one of its sides is a diameter of and the other two sides have their lengths in the ratio . If the radius of the circle is , then the area of the triangle is

Accepted Answer

Correct Answer The answer is a 2 b 2 Step 1 We are given a triangle inscribed in a circle with one side as the diameter. By the property of a circle, any triangle drawn such that one of its sides is the diameter forms a right-angled triangle. So the triangle is right-angled at the vertex opposite th

CAT 2023

Quantitative

Geometry & Mensuration

Hard

A triangle is drawn with its vertices on the circle $C$ such that one of its sides is a diameter of $C$ and the other two sides have their lengths in the ratio $a:b$ . If the radius of the circle is $r$ , then the area of the triangle is

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