If sides A and B of a triangle have lengths of 1 and 6 respectively, and the angle between them is $\frac{π}{2}$ $(pi)/2$ , then what is the area of the triangle?

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If sides A and B of a triangle have lengths of 1 and 6 respectively, and the angle between them is $\frac{π}{2}$ $(pi)/2$ , then what is the area of the triangle?

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Answer 1 · 2016-03-13T21:11:55

3 square units.

Explanation:

The area of a triangle is half the product of any two sides times the sine of the angle between them. The angle between the two given sides is $\frac{π}{2}$ $\pi/2$ radians which is a right angle, so its sine is 1. Therefore:

Area = (1/2)(1)(6)(1) = 3.

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If sides A and B of a triangle have lengths of 1 and 6 respectively, and the angle between them is $\frac{π}{2}$ $(pi)/2$ , then what is the area of the triangle?

1 Answer

Explanation:

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If sides A and B of a triangle have lengths of 1 and 6 respectively, and the angle between them is $\frac{π}{2}$ $(pi)/2$ , then what is the area of the triangle?