Question

In an isosceles right triangle ,what is the length of the equal sides of the triangle ,if its hypotenuse is 6√2 cm?​

Answer 1

$6 \: cm$

Step-by-step explanation:

$Let, \: \: \: the \: \: length \: \: of \: \: the \: \: equal \: \: sides = x \\ Given, \: \: hypotenuse = 6 \sqrt{2} \:cm \\ we \: \: know \: \: \boxed{hyptenuse^{2} = side_{1}^{2} + side_{2}^{2} } \: \: in \: \: a \: \: right \: \: triangle \\ A/Q, \: \: putting \: \: values \\ (6 \sqrt{2} )^{2} = {x}^{2} + {x}^{2} \\ 36 \times 2 = 2 {x}^{2} \\ 36 = {x}^{2} \\ 6 = x \\ \boxed{ x = 6} \\ So, \: \: the \: \: length \: \: of \: \: the \: \: equal \: \: sides \: \: of \: \: the \: \: triangle \\ = 6 \: cm$