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The perimeter for an isosceles triangle is 42 and its base is 3/2 times each of equal sides find area and height of triangle |
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Answer» LET the two equal sides=X perimeter=42 X+X+3/2X=42 2X+2X+3X=42•2 7X=84 X=12unit let AD be the height of TRIANGLE ABC by Pythagorous THEOREM,in triangle ABD AB×AB=AD×AD+BD×BD 12×12=9×9+BD×BD 144=81+BD×BD BD=√63 BD=3√7unit Area of triangle ABC=1/2×b×h =1/2×18×3√7 =27√7sq.unit |
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