Questions: What is the value of x? 25 12 23 17

Transcript text: Quiz: The Pythagorean Theorem HS: Geometry B [M] (Spring 2025) / 1:Right Triangles and Trigonometry 4. What is the value of $x$ ? 25 12 23 17

Solution

Solution Steps

Step 1: Apply the Pythagorean theorem

The given figure is a right triangle with legs of length 7 and 24, and a hypotenuse of length _x_. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, $x^2 = 7^2 + 24^2$.

Step 2: Calculate the squares

$x^2 = 49 + 576$

Step 3: Solve for x

$x^2 = 625$ $x = \sqrt{625}$ $x = 25$