Question

in triangle ABC, D is the midpoint of the side BC, then show that area of the triangle ABD= area of triangle ACD

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given:

In triangle ABC

D is the midpoint of side BC

To prove:

Area of triangle ABD = Area of triangle ACD

Solution:

In triangle ABC, D is the midpoint of side BC

BD=DC.................... [Given] [1]

Area of TriangleADB = 1 x base x height

2

= 1 x BD x AD

2

= 1 x DC x AD.[from1]

2

Area of triangle ACD = 1. x DC x AD

2

HENCE, AREA OF TRIANGLE ABD =AREA OF TRIANGLE ACD

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