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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 ΔABC, 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 derived for the acute angles of ΔABC?
  1. Yes, although the derivation is much more complicated since the legs of the right triangle are also altitudes.
  2. Yes, simply using the standard formula for the area of a triangle and the sine ratio for either angle.
  3. No, it cannot, but the formula is still valid.
  4. No, it cannot, and the formula is not valid for acute angles of right triangles.