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:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
- 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.
[tex]a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}[/tex]
Therefore, the value of x is [tex]\sqrt{149}[/tex].
I hope I've helped. :D
Enjoy your studies! \o/
