A geometry problem by Thành Đạt Lê

Geometry Level 2

If the area of the part colored orange is equal to the area of the part colored green, what is the area of the △ A B C \triangle ABC ?


The answer is 54.

Thành Đạt Lê by Thành Đạt Lê , 17, Singapore

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1 solution

Hana Wehbi
Aug 11, 2017

The two blue triangles with stars are congruent ⟹ \implies the corresponding sides are congruent. Then the area of triangle A B C ABC is 9 × 12 2 = 54 \frac{9\times 12}{2} = 54

Alternative solution by moving one green triangle: Then the desired area is 6 × 9 = 54 6\times 9= 54

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