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Find the length of the hypotenuse of an isosceles right - angled triangle whose area is 200 `cm^(2)`.Also , find its perimeter.`["Given ",sqrt(2)=1.41.]`

Answer» Correct Answer - `28.2 cm , 68.2 cm`
Let base = height =a cm . Then ,
`(1)/(2) xxaxxa=200cm^(2)implies a^(2)= 400cm^(2)implies a=sqrt(400)cm^(2)= 20 cm `.
`therefore " hypotenuse "=sqrt(a^(2)+a^(2))=sqrt(2a^(2))=sqrt(2xx400) cm `
`=20sqrt(2) cm = (20xx1.41) cm.`


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