A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/4$ . If side B has a length of 3, what is the area of the triangle?

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/4$ . If side B has a length of 3, what is the area of the triangle?

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Answer 1 · 2017-12-17T21:31:18

$4.5$

Explanation:

Note that the sum of all angles in a triangle must be $pi$ radians ( $180°$ ).
$pi-pi/2-pi/4=pi/4$
The remaining angle is $pi/4$ .
Also note that triangle $ABC$ is a right triangle ( $/_AB=pi/2=90°$ ).
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The area of a triangle given the base and height is $1/2bh$ .
$1/2*3*3=4.5$
Therefore, the area of the triangle is $4.5$ .

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/4$ . If side B has a length of 3, what is the area of the triangle?

1 Answer

Explanation:

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A triangle has sides A, B, and C. The angle between sides A and B is (pi)/2(pi)/2 and the angle between sides B and C is pi/4pi/4. If side B has a length of 3, what is the area of the triangle?

1 Answer

Explanation:

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/4$ . If side B has a length of 3, what is the area of the triangle?