Question

unit 1 online homework score: 50/100 answered: 15/29 question 25 the pythagorean theorem find the length of the hypotenuse, x, of the right triangle shown below. round your answer to the nearest thousandth as needed. x = ft

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle is $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a$ and $b$ are the legs of the right - triangle. Here, $a = 5$ and $b = 8$. So we have $5^{2}+8^{2}=x^{2}$.

Step2: Calculate the squares

$5^{2}=25$ and $8^{2}=64$. Then $25 + 64=x^{2}$, so $x^{2}=89$.

Step3: Solve for $x$

$x=\sqrt{89}\approx9.434$

Answer:

$9.434$