SOLUTION: The hypotenuse of a right triangle is 7 less than three times the shortest leg. The longer of the two legs is 7 more than the shorter leg. Find all three missing lengths.
Algebra ->
Pythagorean-theorem
-> SOLUTION: The hypotenuse of a right triangle is 7 less than three times the shortest leg. The longer of the two legs is 7 more than the shorter leg. Find all three missing lengths.
Log On
Question 1075496: The hypotenuse of a right triangle is 7 less than three times the shortest leg. The longer of the two legs is 7 more than the shorter leg. Find all three missing lengths.
The Pythagorean equation in this case is
=
where x is the length of the shortest leg.
=====>
= = 0.
(x - 8)x = 0-,
x = 8 is the only admittable solution.
Answer. The side lengths of the triangle are 8, 15 and 17 units.
