Question

AD is median of triangleABC. if area of ABD is equal to x cm square and area of ABC is equal to y cm square then find the relation between x and y​

Answer 1

Given :- AD is median of triangle ABC. if area of ABD is equal to x cm square and area of ABC is equal to y cm square then find the relation between x and y ?

Solution :-

from image :-

• AD = Median .
• ∆ABC area = y .
• ∆ABD area = x .

we know that,

• The median of a triangle divides the triangle into two triangles with equal areas.

Therefore,

→ ∆ABD area = ∆ADC area = x .

Hence,

→ ∆ABC area = ∆ABD area + ∆ADC area

→ y = x + x

→ y = 2x . (Ans.)

∴ the relation between x and y is y = 2x.

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