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Type: Multiple-Choice
Category: Trigonometry
Level: Grade 11
Standards: HSG-SRT.D.9
Author: nsharp1
Created: 4 years ago

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Trigonometry Question

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Let

$Delta ABC$ , as pictured, be a right triangle.

Right Triangle ABC v2

Grade 11 Trigonometry CCSS: HSG-SRT.D.9

Can the sine formula for the area of a triangle be applied to

$Delta ABC$ using sides

$bar{AB}$ and

$bar{AC} ?$

Yes, since $sin(90°)=1$ , $A_{Delta ABC} = 1/2 AB \ AC sin(90°) = 1/2 AB \ AC$ , which is also the standard formula for the area of a triangle as the legs of $Delta ABC$ represent the base and height of the triangle.
Yes, since $sin(90°) = 0$ , the sine term in the formula is ignored and therefore $A_{Delta ABC} = 1/2 AB \ AC$ , which is also the standard formula for the area of a triangle as the legs of $Delta ABC$ represent the base and height of the triangle.
No, since the angle between those sides may not be specified for some right triangles.
No, since the the sine of a right angle does not exist.