Answer:
B) x = √118 mi
Explanation:
This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is
a^2 + b^2 = c^2, where
- a and b are the shorter legs,
- and c is the hypotenuse (longest side opposite the right angle
- In the figure, the sides measuring x mi and √26 mi are the legs, so we plug these in for a and b in the theorem,
- and the side measuring 12 mi is the hypotenuse, so we plug it in for c in the theorem:
Step 1: Plug in x and √26 for a and b and 12 for c and simplify:
x^2 + (√26)^2 = 12^2
x^2 + 26 = 144
Step 2: Subtract 26 from both sides to isolate x^2:
(x^2 + 26 = 144) - 26
x^2 = 118
Step 3: Take the square root of both sides to isolate x:
√(x^2) = √118
x = √118 mi