2 Answers

Ferry Kranenburg · Answer 1 · 2023-10-28T07:08:02+0000

Answer:

$\boxed{\sf B)\: x=√(17)}$

Explanation:

Use the Pythagorean Theorem

The equation for the Pythagorean Theorem is
$\tt a^2+b^2=c^2$

* a and b are the lengths of the legs, and c is the hypotenuse.*

(To know which side is the hypotenuse look at longest side which is across the right angle).

a= x, b=8, c=9

$\sf a^2+b^2=c^2$

Let's Plug in the side lengths:

$\sf x^2+8^2=9^2$

Evaluate 8^2 and 9^2:

$\sf x^2+64=81$

Subtract 64 from both sides:

$\sf x^2+64-64=81-64$

$\sf x^2=17$

Take the square root of both sides:

$\sf x=√(17)$

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