Question

Find the value of x. Round your answer to the nearest tenth.

Answer 1

That's a question about the Pythagorean Theorem.

We use the Pythagorean Theorem to find the value of one side in a right triangle.

This theorem says that:

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

• a is the hypotenuse (It's the opposite side the right angle).
• b and c are cathetus (They're the adjacent sides the right angle).

Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of x (the hypotenuse). Let's change this information in that formula.

$a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}$

Therefore, the value of x is $\sqrt{149}$.

I hope I've helped. :D

Enjoy your studies! \o/