The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle to solve. Here the objective is to get geometry learners develop an understanding of two new solutions. One using congruent triangles, and the other using trigonometric ratios. 

Concepts

right triangles, triangles, trigonometric ratios, Trigonometry

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Additional Tags

trigonometric ratio, right triangles, prove theorems about triangles, math

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Pros

• This simple problem reinforces important geometric and trigonometric concepts
• Well-written explanation of the two different solutions

Cons

• None

Common Core

HSG-CO.C.10 HSG-SRT.C.6 HSG-SRT.C.7 HSG-SRT.C.8