Answer:
The length of the leg along the wall of the right triangle is 8 feet
The length of the hypotenuse of the right triangle is 17 feet
The length of the other leg (third side) of the right triangle is 15 feet
Step-by-step explanation:
Let
x ----> the leg along the wall of the right triangle
y-----> the hypotenuse of the right triangle
z ----> the other leg (third side) of the right triangle
we know that
----> equation A
----> equation B
Applying the Pythagorean Theorem
----> equation C
Solve the system by substitution
substitute equation A and equation B in equation C
solve for x
Solve the quadratic equation by graphing
using a graphing tool
The solution is x=8
see the attached figure
<em>Find the value of y</em>
<em>Find the value of z</em>
therefore
The length of the leg along the wall of the right triangle is 8 feet
The length of the hypotenuse of the right triangle is 17 feet
The length of the other leg (third side) of the right triangle is 15 feet