Circumscribed 83152

Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.

Correct answer:

S =  57.8273 cm2
r =  3.0435 cm
R =  7.7818 cm

Step-by-step explanation:

a=8 cm b=15 cm  b2 = h2+(a/2)2  h=b2−(a/2)2​=152−(8/2)2​=209​ cm≐14.4568 cm  S=2a⋅ h​=28⋅ 14.4568​=4 209​=57.8273 cm2
s=(a+2⋅ b)/2=(8+2⋅ 15)/2=19 cm  S = s⋅ r  r=S/s=57.8273/19=3.0435 cm
S =  4 R abc ​  R=4⋅ Sa⋅ b⋅ b​=4⋅ 57.82738⋅ 15⋅ 15​=7.7818 cm

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