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Question

Mathematics Question on Triangles

In the given ∆ABC∆ABC, if DE∣∣BC,AE=aDE || BC, AE = a units, EC=bEC = b units, DE=xDE = x units and BC=yBC = y units, then which of the following is true?
if DE || BC, AE = a units, EC = b units, DE = x units

A

x=aya+bx=\frac{ay}{a+b}

B

y=axa+by=\frac{ax}{a+b}

C

x=a+bayx=\frac{a+b}{ay}

D

xy=ab\frac{x}{y}=\frac{a}{b}

Answer

x=aya+bx=\frac{ay}{a+b}

Explanation

Solution

The correct option is (A): x=aya+bx=\frac{ay}{a+b}