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Arte-miy333 [17]
3 years ago
8

Express the area of the triangle shown below in terms of b and θ only.

Mathematics
1 answer:
Paul [167]3 years ago
8 0
Given a right triangle with base, b and height, h with the angle opposide side h as θ.

The area of a triangle is given by
A= \frac{1}{2} bh

But,
\tan\theta= \frac{h}{b}  \\  \\ \Rightarrow h=b\tan\theta

Therefore, the area of the triangle in terms of <span>b and θ only is given by
A= \frac{1}{2} b(b\tan\theta)= \frac{1}{2} b^2\tan\theta</span>
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