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| 1. |
The perimeter of rectangle is 60cm and its hypotenuse is 25 cm .find area of triangle. |
| Answer» Given: a + b + 25 = 60\xa0{tex}\\Rightarrow{/tex}\xa0a + b = 35a2 + b2 = 252ab\xa0{tex}=\\frac{1}{2}\\left[(a+b)^{2}-\\left(a^{2}+b^{2}\\right)\\right]{/tex}{tex}=\\frac{1}{2}[1225-625]{/tex}{tex}=\\frac{1}{2}[600]{/tex}= 300{tex}\\therefore{/tex}\xa0area of\xa0{tex}\\triangle{/tex}\xa0= 150cm2 | |