Question

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

Answer 1

13.75

Step-by-step 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)} =√(189)`

x = 13.75