SOLUTION: The sum of the lengths of the two legs of right triangle ABC is 100 percent greater than the sum of the lengths of the legs of right triangle DEF, whose leg lengths are integers th

Question 939099: The sum of the lengths of the two legs of right triangle ABC is 100 percent greater than the sum of the lengths of the legs of right triangle DEF, whose leg lengths are integers that sum to 7. If the two triangles are similar, what is the length of the hypotenuse of triangle ABC?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
100% greater than 7 is 14
The sum of the lengths of the two legs of right triangle ABC = 14
x^2 + (14-x)^2 = c^2
3^2 + 11^2 = 121, c = 11, the length of the hypotenuse of triangle ABC
RELATED QUESTIONS
The hypotenuse of a right triangle is 11 miles long. One leg of the triangle is 3 miles... (answered by edjones)

the sum of the lengths of the two legs of a right angle triangle is 14 cm. find the... (answered by checkley71)

The hypotenuse of a right triangle is 5 inches. The lengths of the two legs are given by... (answered by rfer,Earlsdon)

The hypotenuse of a right triangle is 10cm. One of the legs is two cm than the other leg. (answered by richwmiller)

In right triangle ABC, the lengths of the two legs are 5 inches and 8 inches. What is the (answered by Alan3354)

the hypotenuse of a right triangle is 25 inches , one of the legs is 5 inches more than... (answered by scott8148)

the hypotenuse of a right triangle is 15 inches. one of the legs is 3 inches more than... (answered by checkley71)

The hypotenuse of a right triangle is 15 inches. One of the legs is 3 inches more than... (answered by ikleyn,fractalier)

The sum of the lengths of any two sides of a triangle is greater than the length of the... (answered by ramkikk66)