Answer:
x = 8 units
Explanation:
Because this is a right triangle, we can find x using the Pythagorean theorem, which is given by:
a^2 + b^2 = c^2, where
- a and b are the shorter sides called legs,
- and c is the longest side called the hypotenuse (always opposite the right angle).
In the triangle, the 6 unit side and the x unit sides are the legs while the 10 unit side is the hypotenuse.
Thus, we can solve for x by plugging in 6 for a and 10 for c in the theorem and solving for a (aka x, simply a in the theorem):
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = 8
x = 8
Thus, x is 8 units.