Question

For the following right triangle, find the side length x, round your answer to the nearest hundred

Answer 1

For the triangle, x is 6.93 units long.

Explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 11 units and x units.

Step 2:

By substituting the known values, we get

`13^(2) = 11^(2) +x^(2) .`

`x^(2) = 169-121= 48.`

`x = √(48) = 6.92820.`

Rounding this off to the nearest hundred, we get that x is 6.93 units long.