Question

Find the unknown side length, x. Write your answer in simplest radical form.

A. 5
B 3√3
C. 3√5
D. 9√5

Answer 1

As x is the Hypotenuse of the Triangle

x² = 6² + 3²

x² = 36 + 9

x² = 45

`x = √(45)`

`x = 3√(5)`

Option C is the Answer

Answer 2

The correct answer option is C. 3√5.

Explanation:

Here in this figure, we have a square and a triangle. We know that a square all the sides of equal length.

Since the side length of this square is 6 which also the side of the triangle then it is also equal to 6.

Now that we know the height and the base of the triangle, we can find x which is the hypotenuse by using the Pythagoras Theorem.

`x^2 = 6^2 + 3^2`

`x^2 = 36 + 9`

`x^2 = 45`

Taking square root on both the sides, we get:

`x= 3√(5)`