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In 𝛥 ABC, DE ‖ AB. If AB = a, DE = x, BE = b and EC = c.Then x expressed in terms of a, b and c is:

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In 𝛥 ABC, DE ‖ AB. If AB = a, DE = x, BE = b and EC = c.Then x expressed in terms of a, b and c is:
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Solution 1

This problem can be solved using the properties of similar triangles.

Since DE is parallel to AB, we can say that triangle DEC is similar to triangle BAC by the AA (Angle-Angle) criterion of similarity.

In similar triangles, the ratio of corresponding sides is equal. Therefore, we can write:

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Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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