SOLUTION: one side of a triangle is half the longest side. the 3rd side is 10 methers less than the longest side. the perimater is 53. find all sides. thank you
Algebra.Com
Question 271066: one side of a triangle is half the longest side. the 3rd side is 10 methers less than the longest side. the perimater is 53. find all sides. thank you
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x = longest side of triangle
y = 1/2x :: y is half the longest side
z = x - 10 :: z is 10 less than the longest side
x + y + z = 53
.
substituting
x + 1/2x + x-10 = 53
.
multiply everything by 2
2x + x +2x -20 = 106
.
collect and simplify
5x = 126
x = 126/5 = 25.2
.
y = 1/2x = 25.2/2 = 12.6
.
z = x-10 = 15.2
.
checking, does x+y+z = 53?
25.2 + 12.6 + 15.2 = 53
Yes!
.
Answer:
x = 25.2
y = 12.6
z = 15.2
RELATED QUESTIONS
One side of triangle is half the longest side. The third side is 10 feet less than the... (answered by ReadingBoosters)
One side of triangle is half the longest side. The third side is 12 feet less than the... (answered by ReadingBoosters)
One side of triangle is half the longest side. The third side is 7 feet less than the... (answered by FaroukHarb,ewatrrr)
One side of triangle is half the longest side. The third side is 9 feet less than the... (answered by josgarithmetic,MathTherapy)
One side of triangle is half the longest side. The third side is
12 feet less than the... (answered by Alan3354)
One side of a triangle is half the longest side. The third side is 10 meters less than... (answered by mananth)
One side of a triangle is half the longest side. The third side is 10 meters less than... (answered by cleomenius)
In a triangle, the perimeter is 121 feet, the shortest side is 15 feet longer than... (answered by ankor@dixie-net.com)
One side of triangle is one fourth the longest side. The third side is 9 feet less than... (answered by ewatrrr)