Answer:
x = 8.3
Explanation:
Finding x using the Pythagorean Theorem:
Because this a right triangle and we're already given two side lengths, we can find x using the Pythagorean Theorem, which is given by:
a^2 + b^2 = c^2, where
- a and b are the legs (i.e., 10 and x in this case),
- and c is the hypotenuse (i.e., 13)
Thus, we can substitute 10 for a and 13 for c to find b, which is the same as x:
10^2 + b^2 = 13^2
(100 + b^2 = 169) - 100
√(b^2) = √(69)
b = 8.30662383
b = 8.3
Thus, x = 8.3