Question

wk//4 act prep
solve for x.
3
45
x
o 4
o 5
o 3\sqrt{2}
o 2\sqrt{3}

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 triangle, the legs are of equal length. If one leg is 3, the other leg is also 3.

Step2: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs and $c$ is the hypotenuse. Here, $a = 3$, $b = 3$, and $c=x$. So, $x=\sqrt{3^{2}+3^{2}}=\sqrt{9 + 9}=\sqrt{18}=3\sqrt{2}$.

Answer:

C. $3\sqrt{2}$