SOLUTION: A drawing of a teepee has the shape of a right triangle with one leg 8 meters longer than the other, The hypotenuse is 8 meters less than twice the length of the shorter leg? What

Algebra.Com
Question 1005015: A drawing of a teepee has the shape of a right triangle with one leg 8 meters longer than the other, The hypotenuse is 8 meters less than twice the length of the shorter leg? What are the steps with the solution?
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Step 1: Define a variable
= length of the shorter leg, in meters.

Step 2: Express other measurements based on the variable defined above.
= length of the shorter leg, in meters.
= length of the hypotenuse/

Step 3: Apply the Pythagorean theorem


Step 4: Work on the above equation (simplify and solve)






---> is the only solution that makes sense, because
does not make sense.

Step 5: Find the other lengths
and .

Step 6: Answer in words, with units if that is what is expected.
The shorter leg measures .
The longer leg measures .
The hypotenuse measures .

RELATED QUESTIONS

a garden has the shape of a right triangle with one leg 8 meters longer than the other.... (answered by mananth)
a garden has the shape of a right triangle with one leg 8 meters longer than the other.... (answered by stanbon)
a garden has the shape of a right triangle with one leg 2 meters longer than the other.... (answered by destro)
a garden has the shape of a right triangle with one leg 5 meters longer than the other.... (answered by mananth)
A garden has the shape of a right triangle with one leg 7 meters longer than the other.... (answered by lwsshak3)
A garden has the shape of a right triangle with one leg 4 meters longer than the other.... (answered by Boreal)
The hypotenuse of a right triangle is 2 cm longer than one leg, The other leg has length... (answered by ikleyn)
The hypotenuse of a right triangle is one meter longer than one leg and 3 meters longer... (answered by josgarithmetic)
A lot has the shape of a right triangle with one leg 2m longer than the other. The... (answered by tvandenberg)