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In Isoceles Triangle ABC, CA = CB. DEA is congruent to BEA, and DEA = BEA = 90 degrees. Circles M, N, O have radius 1 and are inscribed in ABC. What is the area of ABC?

 Jan 5, 2021
 #1
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Any thoughts?

 Jan 5, 2021
 #2
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An Isosceles Triangle ABC, CA = CB. DEA is congruent to BEA, and DEA = BEA = 90 degrees. Circles M, N, O have radius 1 and are inscribed in ABC. What is the area of ABC?

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Triangles DEA and BEA are 3-4-5 right-angled triangles!!!

 

Knowing that ​it's very easy to calculate the area of ΔABC.

 

[ABC] ≈ 21.429 square units  smiley

 

jugoslav  Jan 5, 2021
edited by jugoslav  Jan 5, 2021
edited by jugoslav  Jan 6, 2021
edited by jugoslav  Jan 7, 2021
edited by jugoslav  Jan 7, 2021

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