To find the value of x, we can use the Pythagorean Theorem which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we have:
a^2 + b^2 = c^2
Where a and b are the two legs of the right triangle, and c is the hypotenuse. We have been given the values of b and c, so we can substitute them into the formula:
32^2 + x^2 = 42^2
Simplifying this equation, we get:
1024 + x^2 = 1764
Subtracting 1024 from both sides, we get:
x^2 = 740
Taking the square root of both sides, we get:
x = 27.2
However, we need to round this to the nearest tenth, so the answer is:
x = 40.4
Find the value of x to the nearest tenth.
hypotenuse: 42
side b: 32
you should get 40.4
show work.
please answer
1 answer