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Find the length of the hypotenuse of an isosceles right-angle triangle if its area is 50m². From Heron's Formula |
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Answer» length of the hypotenuse of an isosceles right-angle TRIANGLE if its AREA is 50m² is 10√2 mGiven:Area of isosceles right-angle triangle = 50m² It is isosceles triangle. So, two SIDES are EQUAL To find:length of the hypotenuse of the given triangleSoln. - LET, the equal sides be x cm Area of a triangle = 1/2.b.h50m² = (1/2) x²therefore, x = 10cmSo, by pythagoras theorem, Hypotenuse² = Opposite² + Adjacent²Hyp² = 10² + 10²Hyp = √200Therefore, hyp = 10√2 m |
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