Question

Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 5 is the square root of 6

Answer 1

5 square root of 3

Explanation:

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Answer 2

`5√(3)=x`

Explanation:

We are given an isosceles right triangle.

Refer the attached figure

ΔABC is an isosceles right triangle.

AB = BC = x (Let)

AC = Hypotenuse = 5√6 (Given)

Now using Pythagoras theorem

`Hypotenuse^2=Perpendicular^2+Base^2`

`AC^2=AB^2+BC^2`

`(5√(6))^2=x^2+x^2`

`150=2x^2`

`√(150){2}=x^2`

`75=x^2`

`√(75)=x`

`5√(3)=x`

Hence the leg of each isosceles right triangle when the hypotenuse is 5√6 is
`5√(3)`.