Ava is solving a geometry problem. The length of a side of a triangle is 36. A line parallel to that side divides the triangle i

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3 years ago

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Ava is solving a geometry problem. The length of a side of a triangle is 36. A line parallel to that side divides the triangle i

nto two equal area parts. She solved for the length of the segment dividing the triangle and got 25.455. How did Ava get that answer?

Mathematics

1 answer:

kvasek [131] · Answer 1 · 2022-05-20T03:56:41+03:00

<h3>Explanation:</h3>

The ratio of areas of similar triangles is the square of the ratio of their linear dimensions. If the smaller triangle is 1/2 the area of the larger, then its linear dimensions are √(1/2) those of the larger triangle.

smaller side length = √(1/2) × larger side length

= (√2)/2×36 = 18√2 ≈ 25.4558