Mathematics · Geometry

In triangle ABC, a line segment DE is parallel to BC, with D on AB and E on AC. If the ratio of the area of triangle ADE to the area of the trapezoid DECB is 9:16, what is the ratio of AD to AB?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

14 : 5
23 : 5✓
32 : 5
43 : 8

Correct answer

3 : 5

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In triangle ABC, a line segment DE is parallel to BC, with D on AB and E on AC. If the ratio of the area of triangle ADE to the area of the trapezoid DECB is 9:16, what is the ratio of AD to AB?

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In triangle ABC, a line segment DE is parallel to BC, with D on AB and E on AC. If the ratio of the area of triangle ADE to the area of the trapezoid DECB is 9:16, what is the ratio of AD to AB?

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