Question

Match wash hypotenuse length with the leg lengths that will create a right triangle

Answer 1

hope this can help you

Answer 2

Explanation:

Using the Pythagoras theorem, we have

`(Hyp)^2=(Leg)^2+(Leg)^2`

(A) The given value of hypotenuse is:

`√(6) units`

Now, using the Pythagoras theorem,

`√(6)=\sqrt{(√(5))^2 +(1)^2}`

Thus, one leg is
`√(5) units` and the other is
`1 units`.

(B)The given value of hypotenuse is:

`√(5) units`

Now, using the Pythagoras theorem,

`√(5)=\sqrt{(√(2))^2 +(√(3))^2}`

Thus, one leg is
`√(2) units` and the other is
`√(3) units`.

(C) The given value of hypotenuse is:

`√(8) units`

Now, using the Pythagoras theorem,

`√(8)=\sqrt{(√(5))^2 +(√(3))^2}`

Thus, one leg is
`√(5) units` and the other is
`√(3) units`.

(D) The given value of hypotenuse is:

`√(3) units`

Now, using the Pythagoras theorem,

`√(3)=\sqrt{(√(2))^2 +(1)^2}`

Thus, one leg is
`√(2) units` and the other is
`1 units`.