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Question Video: Finding Triangles of Equal Areas Mathematics • 6th Grade

Given that the area of △𝐡𝐷𝐸 = 63cmΒ², find the area of △𝐢𝐷𝐸.

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Video Transcript

Given that the area of triangle 𝐡𝐷𝐸 equals 63 square centimeters, find the area of triangle 𝐢𝐷𝐸.

Observe that segments 𝐴𝐷 and 𝐷𝐡 are congruent and lie on the same line. Furthermore, triangles 𝐡𝐷𝐸 and 𝐴𝐷𝐸 share a common vertex at 𝐸. It follows that they have the same area. Similarly, triangles 𝐴𝐷𝐸 and 𝐢𝐷𝐸 have congruent bases and share a common vertex at 𝐷. It follows that triangles 𝐢𝐷𝐸, 𝐴𝐷𝐸, and 𝐡𝐷𝐸 all have the same area, which is 63 square centimeters.

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