Question

due sep 23 by 8am points 5 submitting an external tool available until oct 3 at 8am answer attempt 2 out of 2 x = submit answer

Explanation:

Step1: Find height of the right - triangle on the right

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ for the right - triangle with sides 3 and 5. Let the height be $h$. Then $h=\sqrt{5^{2}-3^{2}}=\sqrt{25 - 9}=\sqrt{16}=4$.

Step2: Find $x$ using the Pythagorean theorem for the large right - triangle

For the large right - triangle with hypotenuse 8 and height $h = 4$, we have $x=\sqrt{8^{2}-4^{2}}=\sqrt{64 - 16}=\sqrt{48}=4\sqrt{3}$.

Answer:

$4\sqrt{3}$