Question

in a right angled triangle if sum of the square of the sides making right angle is 169 than what is the length of the hypotenuse ?​

Answer 1

let the sides be x

2x= 169

x=169/2

x=84.5

using herons formula,

y²(hypotenuse) =x²+x²

y²=84.5²+84.5²

y=√7140.25+7140.25

y=√14280.5

y=119.50(approx)