Question

Find the value of x in the triangle shown below.

Answer 1

4^2 +6^2=x^2
16+36=x^2
52=x^2
Square root of 52= x


X=7.2

Answer 2

To find the value of x in the triangle, we can use the Pythagorean theorem. The value of x is
`2 √(13)`.

In a right-angled triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the given triangle with sides 4, 6, and x, the Pythagorean theorem can be written as:
`4^2+6^2=x^2`

Simplifying:

`\begin{aligned}&16+36=x^2\\&52=x^2\end{aligned}`

Now, take the square root of both sides:

`\begin{aligned}& x=√(52) \\& x=2 √(13)\end{aligned}`

So, the value of x in the given triangle is
`2 √(13)`