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Question

Question: If the diameter of an ex-circle be equal to the perimeter of the triangle then the triangle is-...

If the diameter of an ex-circle be equal to the perimeter of the triangle then the triangle is-

A

Right angled

B

Isosceles

C

Right angled isosceles

D

Equilateral

Answer

Right angled

Explanation

Solution

r1 = s tan A/2,

Given 2s tan A/2 = 2s, tan A/2 = 1, A = π/2.

You can not say about right angled triangle.