Kaelykb K.

asked • 08/27/16

find the height of a right triangle

The surface area of a right triangular prism is 126 square inches. the base is a right triangle with a base height of 3 inches and base length of 4 inches. The length of the third side of the base is 5 inches find the height of the prism.

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Kenneth S. answered • 08/27/16

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Total surface area is 126 = 2(½)(3)(4)  ⇐ top and bottom triangular areas
   +  3h + 4h+ 5h   ⇐ plus each of the flanks, which are all height h, rectangles built upon the 3 sides of the base area.
   =  12 + 12h = 126
 
Therefore 114 = 12h  so  h = 19/2.......Arithmetic corrected, per Tom's comments. OOPS!
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Tom K.

Kenneth mis-added and mis-subtracted, but otherwise worked out the problem correctly. 3+4+5 = 12 126 - 12 = 114
12 + 12h = 126
12h = 114
h = 19/2
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08/27/16

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