Question

the perimeter of a right angled traingle is132cm and its hypotenuse is 61 cm. find the length of other two sides and area of the triangle​

Answer 1

sum of other two sides = 132 - 61 = 71cm

let one of the side is x.

therefore, other side is 71-x.

Now, By Pythagoras theorem

${x}^{2} + {(71 - x)}^{2} = {61}^{2} \\ = {x}^{2} + 5041 + {x}^{2} - 142x = 3721 \\ = 2 {x}^{2} - 142x + 1321 = 0 \\ \: now \: you \: can \: solve \: yourself.$