A geometry problem by Ajay Sambhriya

Geometry Level 2

AR = 6
AC = 12
Length BC=?

6 9 4 8

Ajay Sambhriya by Ajay Sambhriya , 27, India

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1 solution

Maria Kozlowska
Oct 8, 2017

B C = B R BC=BR

A C 2 + B C 2 = A B 2 ⇒ 144 + B C 2 = ( 6 + B C ) 2 ⇒ B C = 9 AC^2 + BC^2=AB^2 \Rightarrow 144 + BC^2 = (6+BC)^2 \Rightarrow BC=9

5 Helpful 0 Interesting 0 Brilliant 0 Confused

Being tangent to the semicircle. BC = BR

Naren Bhandari - 3 years, 7 months ago

(6 + BC)^2 = BC^2 + 12^2 12BC = 144 - 36

E Koh - 3 years, 7 months ago

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