Given : AD is tangent of B and C . DB = 50 , AD = 40 , and DC = 15 .What is the measure of DE?

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Oddman Profile
Oddman answered
By the angle-angle rule, triangles DEC and DAB are similar. The scale factor is DC/DB = 15/50, so the side DE = AD*15/50 = 40*15/50 = 12.

The measure of DE is 12.
Each triangle is a 3-4-5 triangle. DEC has a multiplier of 3 (making it a 9-12-15 triangle), and DAB has a multiplier of 10. The figure is not to scale.

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