A triangle sides are 10cm,24cm and 26cm .Each angle of the triangle has a circle which radius is 3.5cm .find the area of the remaining part of the triangle.
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The sides of the triangle being 10 cm, 24 cm and 26 cm, we can find the area by
Heron’s formula. Here S, semi perimeter = [10+24+26}/2 = 30, So area of the triangle is A = [s(s-a)(s-b)(s-c)]^0.5 or
= [30(30–10)(30–24)(30–26)]^0.5
= [30*20*6*4]^0.5
= [100*6*6*2*2]^0.5
= 10*6*2 = 120 sq cm.
Alternately, 10=24=26 is a RAT with 26 as the hypotenuse, so the area of the RAT = 24*10/2 = 120 sq cm.
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