SOLUTION: Two sides of the triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle. Please explain.
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-> SOLUTION: Two sides of the triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle. Please explain.
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Question 1116887: Two sides of the triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle. Please explain. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! the height forms two right triangles, let their bases be x and y
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25^2 +x^2 = 26^2
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x^2 = 26^2 - 25^2 = 51
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x = 7.14 approximately 7.1
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25^2 +y^2 = 27^2
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y^2 = 27^2 - 25^2 = 104
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y = 10.19 approximately 10.2
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Base of triangle = 7.1 + 10.2 = 17.3
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Area of triangle = (1/2) * 17.3 * 25 = 216.25 square units
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