Question

9. The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
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Answer 1

Height and base of a triangle is given

Height = x⁴ + y⁴

Base = 14xy

We have to find the area of the triangle

Area of triangle = 1/2 × base × height

                          = 1/2 × 14xy × (x⁴ + y⁴)

                          = 7xy × (x⁴ + y⁴)

                          = 7x⁵y + 7xy⁵

Hence, the area of the triangle will be 7x⁵y + 7xy⁵