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Common Core Standard HSG-SRT.D.9 Questions

(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

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

This question is a part of a group with common instructions. View group »

Can the sine formula for the area of a triangle be derived for the acute angles of [math]Delta ABC ?[/math]
  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.
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