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ICSE Class 9 Answered

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Asked by ay7599219263 | 28 Mar, 2024, 09:30: AM
answered-by-expert Expert Answer

Median of a triangle divides the triangle into two triangles of equal areas.

AD is the median of triangle ABC.

Then, area of triangle ABD = area of triangle ACD     ....(i)

Also PD is the median of triangle PBC.

Then, area of triangle PBD = area of triangle PCD    ....(ii)

Subtracting (ii) from (i),

area of triangle ABD - area of triangle PBD = area of triangle ACD - area of triangle PCD

area of triangle ABP = area of triangle ACP

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