An Equilateral Triangle Has Sides 16 Inches In Length. Use The Pythagorean Theorem To Find Its Area?


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Easy, to find the height you create two right triangles out of that one. For one of the right triangles the hypotenuse would be 16, while the base is 8. A squared plus b squared equals c squared, 8 squared is 64, and 16 squared is 256, so now we have 64 = b squared = 256. 256 - 64 = 192, take the square root and you have your height. Then plug it into the Area formula of a triangle, and there you have it (:

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