SOLUTION: One leg of a right triangle is three times as long as the other. Write the lengthof the hypotenuse as a function of the shorter leg.
a) c = (something i can't read)(square root
Algebra.Com
Question 229995: One leg of a right triangle is three times as long as the other. Write the lengthof the hypotenuse as a function of the shorter leg.
a) c = (something i can't read)(square root of a)
b) c = 2a
c) c = (something i can't read)(square root of 10)
d) c = 10(a squared)
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let a and b be the two legs of this triangle and c is the hypotenuse.
"One leg (b) is three times as long as the other (3a)."
Use the Pythagorean theorem.
Substitute
Combine like-terms on the right side.
Take the square root of both sides.
or
RELATED QUESTIONS
one leg of the right triangle is twice as long as the other .write the length of the... (answered by nyc_function)
One leg of a right triangle is half as long as the other. What is the length of the... (answered by drj)
One leg of a right triangle is twice as long as the other. Write the length of the... (answered by mananth)
A right triangle has one leg that is three times as long as the other leg the height of... (answered by Fombitz)
In a right triangle, one leg is 2 cm longer than the other leg, and the hypotenuse is... (answered by mananth)
the hypotenuse of a right triangle is 10 cm long. one leg is twice as long as the other.... (answered by ewatrrr)
If one leg of a right triangle is 3 times as long as the other leg, what is the measure... (answered by Aldorozos,stanbon)
A right triangle has one leg that is 3 times as long as the other leg. The length of the... (answered by Alan3354)
find the perimeter of a right triangle if the hypotenuse is twice as long as one of the... (answered by edjones)