Question

find the length of each isosceles right triangle when the hypotenuse of the given measure given 5 to the square root of 6

Answer 1

In isosceles right triangle, legs are equal. Let each leg is of x units . And the given hypotenuse is 5 square 6. We use pythagorean identity here, which is

$a^2 + b^2 = c^2$

Where a=b=x and c= 5 square root 6

$x^2 +x^2 =(5 \sqrt6)^2$

$2x^2 = 150$

$x^2 =75$

$x= 5 \sqrt 3$

And that's the length of both the legs . ANd that's the required answer .