Subjective Type

The height of a triangle is $$x^{4} + y^{4}$$ and its base is $$14xy$$. Find the area of the triangle.

Solution

Given,
The height of triangle $$=x^{4} + y^{4}$$
The base of triangle $$=14xy$$

We know that,
Area of a triangle $$ =\dfrac12\times base \times height$$

$$=\dfrac{1}{2} \times 14xy \times (x^{4}+y^{4})$$

$$= 7xy(x^{4} + y^{4})$$

Hence, the area of the triangle is $$7xy(x^{4} + y^{4})$$.


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