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A 5. GIVEN: AABC is isosceles D is the midpoint of BC FDI AC DE 1 AB PROVE: FD - DE F E С B

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Answer #1

Solution)

In triangles

CDF and BDE

We have

Angle DCF= angle DBE (isosceles triangle)

Angle CFD= angle BED (90° as lines are perpendicular)

CD= BD (mid point segments)

Thus triangle CDF is similar to triangle BDE (A.A.S axiom of congruency)

Thus

FD= ED (corresponding sides of congruent triangles)

Which is required to prove hence proved.

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