SOLUTION: A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The hypotenuse is 20 meters longer than the length of the longer leg. How long is the longer leg
Algebra.Com
Question 235797: A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The hypotenuse is 20 meters longer than the length of the longer leg. How long is the longer leg
help
Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
i know that the 5 steps of problem, solving process is to
familiarize translate carry out check and state but i am not sure what order i start with to do the formula.
the
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A lot is in the shape of a right triangle.
The shorter leg measures 60 meters.
The hypotenuse is 20 meters longer than the length of the longer leg.
How long is the longer leg
:
Let x = the longer leg
then
(x+20) = the hypotenuse
:
60^2 + x^2 = (x+20)^2
:
FOIL the right side
3600 + x^2 = x^2 + 40x + 400
:
Group the x's on the left, numbers on the right
x^2 - x^2 - 40x = 400 - 3600
:
-40x = -3200
Multiply both sides by -1
40x = 3200
:
divide both sides by 40
x =
x = 80 meters is the longer leg
;
:
Check: hypotenuse = 80 + 20 = 100
60^2 + 80^2 = 100^2
RELATED QUESTIONS
A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The... (answered by Alan3354,scott8148)
A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The... (answered by ankor@dixie-net.com)
A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The... (answered by Fombitz)
A lot is in the shape of a right triangle. the shorter leg measures 60 meters. the... (answered by richwmiller)
A lot is in the shape of a right triangle. The shorter leg measures 180 meters. the... (answered by JulietG)
A lot is in the shape of a right triangle. The longer leg measures 1 meter more than the... (answered by ewatrrr)
A lot is in the shape of a right triangle. The shorter leg measures 120 meters. The... (answered by solver91311)
A LOT IS IN THE SHAPE OF THE RIGHT TRIANGLE. THE SHORTER LEG MEASURES 180 METERS. THE... (answered by nerdybill)
A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse (answered by ilana)
A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse (answered by Love math)