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ABC is a triangle right angled at A. AB 6cm and AC 8cm. A circle with centre O isinscribed inside the triangle. Find the radius of the inscribed circle. |
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Answer» This is a right angled triangle with sides 6 and 8 .Third side will be 10(Pythagorean triplets) .The circle is inscribed in the triangle . So all the three sides are at tangent to the circle .A line drawn from center of the circle will be perpendicular to the sides of the triangle Area of triangle :6*8=48The larger triangle can be broken into three smaller triangles with base =8,height=r ,base=10,height=r ,base 6 height=r .Sum of areas of these three triangle :8r+10r+6r=24r .24r=48 ,hence r=2 . |
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