To solve for x, we can use the Pythagorean theorem, which states that 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 has a length of x, and the other two sides have lengths of 24 and 32.
The Pythagorean theorem can be written as:
x^2 = 24^2 + 32^2
x^2 = 576 + 1024
x^2 = 1600
Now, take the square root of both sides to get:
x = sqrt(1600)
x = 40
So the value of x (the length of the hypotenuse) is 40.
Find the value of x using trigonometric ratios. Round your answer to the nearest tenth.
24-32 right triangle
show work
1 answer