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If 'A is the area of right triangle and 'a' is one of the sides containing right angle. Prove thatfan2Aathe length of the altitude on the hypotenuse is |
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Answer» LetAbe the area of the right triangle andbbe one of the sides containing the right angle. Letxbe the length of the other leg us observe the following figure. Area of a triangle isA=1/2*b*XThus is X=2A/bApply Pythagoras theoremHypotenuse=√b^2+x^2=√b^2+(2A/b)^2=1/b√b^4+4A^2Area of triangle A=1/2*hypotenuse*hhenceH=2Ab/√b^4+4A^2 |
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