Solve.
-A tour bus is traveling along a triangular path. The three straight lines form a right triangle. One leg of the triangle represents a distance of 144 miles. The other leg of the triangle is 96 miles shorter than the hypotenuse.
What is the length of the hypotenuse of this triangle? Of the other leg?
A)The hypotenuse is 159 miles long. The shorter leg is 62 miles long.
B)The hypotenuse is 155 miles long. The shorter leg is 58 miles long.
C)The hypotenuse is 156 miles long. The shorter leg is 60 miles long.
D)The hypotenuse is 158 miles long. The shorter leg is 59 miles long.

Question

Quizplus · Accepted Answer

Let the hypotenuse be $h$ and the other leg be $x$. Given that $x = h - 96$ and one leg is $144$ miles, we use the Pythagorean theorem: $144^2 + x^2 = h^2$. Substituting $x$ gives $144^2 + (h - 96)^2 = h^2$. Solving this equation yields $h = 156$ miles and $x = 60$ miles.

Solve. -A Tour Bus Is Traveling Along a Triangular Path. the the Three