Question 26

$$ABCD$$ is a rectangle. $$AB=6$$ and $$AD=10$$. $$E$$ is a point on $$BC$$ such that $$AE=10$$. Then the area of triangle $$\triangle ADE$$ in square units is ______.

Correct Answer: 30

Solution

Take $$AD$$ as the base of triangle $$ADE$$. Since $$E$$ lies on the side $$BC$$ of the rectangle, its perpendicular distance from $$AD$$ equals $$AB=6$$. Therefore the area is $$\frac{1}{2}\times 10\times 6=30$$ square units.

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