find the length of the right triangle

x, 35, and 12

1 answer

To find the length of the right triangle, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is x, and the other two sides are 35 and 12. So, we can set up the equation:

x^2 = 35^2 + 12^2

x^2 = 1225 + 144

x^2 = 1369

To solve for x, we take the square root of both sides:

x = √1369

x = 37

Therefore, the length of the right triangle is 37.