Question

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answer 1

Answer:

13.75

Explanation:

Use the Pythagorean Theorem to find the missing side.

$a^{2} + b^{2} = c^{2}$

Where a and b are sides and c is the hypotenuse (longest side)

Substitute:

$a^{2} + b^{2} = c^{2}$

$10^{2} + x^{2} = 17^{2}$

Solve for x:

$10^{2} + x^{2} = 17^{2}$

$100 + x^{2} = 289$

Subtract 100 on both sides:

$100 + x^{2} = 289$

- 100         -100

$x^{2} = 189$

Find the square root of x^2:

$x^{2} = 189$

$\sqrt{x^{2}} =\sqrt{189}$

x = 13.75