Question

The side of an isosceles right triangle is 3a cm.find its hypotenus.​

Answer 1

in an isosceles triangle 2 sides will be equal so

let AB=3a

then BC=3a

to find hypotenus

${ac }^{2} = {ab}^{2} + {bc}^{2}$

$= {ac}^{2} = {3a}^{2} + {3a}^{2}$

$= 9 {a}^{2} + 9 {a}^{2}$

$18 {a}^{2}$

ac=

$3a \sqrt{2}$