Question
In triangle XYZ, lines XP and PF are medians of triangle
XYZ and triangle XZF respectively. If the area of triangle XPF is 15 cm², calculate the area of triangle XYZ.Solution
ATQ,
A median divides a triangle into two equal-area triangles.
So, area of triangle XZF = 2 × area of triangle XPF = 2 × 15 = 30 cm²
Again, area of triangle XYZ = 2 × area of triangle XZF = 2 × 30 = 60 cm²
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