Answer:
The length of the shorter leg is 12 cm
The length of the longer leg is 35 cm
The length of the hypotenuse is 37 cm
Step-by-step explanation:
Let
x ----> the length of the shorter leg
y ----> the length of the longer leg
z ----> the length of the hypotenuse
we know that
----> equation A
----> equation B
Remember that in a right triangle we can apply the Pythagorean Theorem
so
----> equation C
substitute equation A and equation B in equation C
solve for x
simplify
The solutions are x=0 cm, x=12 cm
therefore
The solution is x=12 cm
<em>Find the value of y</em>
<em>Find the value of z</em>
therefore
The length of the shorter leg is 12 cm
The length of the longer leg is 35 cm
The length of the hypotenuse is 37 cm