A right triangle has a hypotneuse of x an adjacent of 9 and an oppisite of 15
Solve for x. Round to the nearest tenth. Please show all work in order to receive full credit.
In a right triangle, the hypotenuse is the longest side, and it is opposite the right angle. The adjacent side is the side that is adjacent (next to) the angle we are interested in, and the opposite side is the side that is opposite the angle we are interested in.
We can use the Pythagorean theorem to solve for x, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the adjacent side is 9, and the opposite side is 15. We can label the hypotenuse as x, so we have the following equation:
x^2 = 9^2 + 15^2
Simplifying, we have:
x^2 = 81 + 225
x^2 = 306
To solve for x, we take the square root of both sides of the equation:
x = √306
Using a calculator, we find that √306 is approximately 17.5.
Therefore, the value of x, rounded to the nearest tenth, is 17.5.