Question

the lengths of a right triangles two legs are 8 units and x units. the length of the triangles hypotenuse is 17 units.
what is the value of x?
3
5
15
25

Explanation:

Step1: Apply Pythagorean theorem

$$8^2 + x^2 = 17^2$$

Step2: Calculate known squares

$$64 + x^2 = 289$$

Step3: Isolate $x^2$ term

$$x^2 = 289 - 64$$

Step4: Compute $x^2$ value

$$x^2 = 225$$

Step5: Solve for positive $x$

$$x = \sqrt{225}$$

Answer:

C. 15