Question

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

Answer 1

Answer:

The correct answer option is C. 3√5.

Step-by-step 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:

$x= 3\sqrt{5}$

Answer 2

As x is the Hypotenuse of the Triangle

x² = 6² + 3²

x² = 36 + 9

x² = 45

$x = \sqrt{45}$

$x = 3\sqrt{5}$

Option C is the Answer