Question

What is the value of x? Leave your answer in simplest radical form.

Answer 1

the correct answer should be 2radical 13

Answer 2

x = 2
`√(13)`.

Explanation:

Given : A right triangle with two perpendicular sides 4 , 6.

To find : value of x .

Solution : We have given A right triangle with two perpendicular sides

Shortest leg = 4 unit

Longer leg = 6 unit.

Hypotenuse = x .

By the Pythagorean theorem :

(Hypotenuse)² = (Longer leg)²+ ( Shortest leg)².

Plug the values

(x)² = (6)²+ (4)².

(x)² = 36 + 16 .

(x)² = 52

Taking square root both sides

x =
`√(52)`.

x =
`√(4 * 13)`.

x =
`√(4)` *
`√(13)`.

x = 2
`√(13)`.

Therefore, x = 2
`√(13)`.