Question

How to solve sum no 9 from the attachment with a diagram??? pls help

Answer 1

Step-by-step explanation:

ar ABC= 1/2 BC* AD

ar ABC= 1/2 BE* AC

1/2 BC*AD= 1/2 BE*AC

BC*AD= BE*AC

AD= BE

hence proved

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Answer 2

Step-by-step explanation:

In triangles BEC and ADC,

Given,

AB = AC = BC, {Equal sides of Equilateral Triangle.}

Angle BEC = ADC = 90°, {Medians of Equilateral Triangle are same as their altitude and hence are perpendicular to the base.}

AC/2 = BC/2 = EC = DC. {Medians bisect the base.}

We get,

AC = BC, {Hypotenuse.}

DC = EC, {Side}

Angle BEC = ADC, {Right Angle}

Hence, by RHS congruent criterion, we get Triangle BEC congruent to ADC.

We get,

AD = BE. {Corresponding Sides of triangle.}

Hence, AD = BE.

Hope it helped you...

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