+1524 In the diagram below, we know \tan \theta = \frac{3}{4}. Find the area of the triangle.
The triangle is right, and the hypotenuse is 80.
+1769
In the diagram below, we know \tan \theta = \frac{3}{4}. Find the area of the triangle.
The triangle is right, and the hypotenuse is 80.
Area of a triangle equals half the product of the base times the height.
A = (1/2)(48)(64)
A = 1536
Recognize that 5 is a factor of 80. And that 3, 4, 5 is a Pythagorean triplet.
So, just multiply all the way across by 16 and you get a 48, 64, 80 right triangle.
You know that the legs are 48 and 64 because the longest one is the hypotenuse.
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