Question

Find the value of x of the given right triangle.​

Answer 1

In the right triangle, the side a=
`4` and the hypotenuse c=
`7`.

To find: the value of x

We have,

`a=6` and
`c=7`

Now,by the pythagorean theorem,

`{a}^(2) + {b}^(2) = {c}^(2)`

Substitute the values,

`{6}^(2) + {x}^(2) = {7}^(2)`

`36 + {x}^(2) = 49`

Subtract 36 from each sides,

`{x}^(2) = 13`

Take square root from each sides,

`x = √(13)`

Hence, the value of x is
`√(13)`.