SOLUTION: Tom's uncle owns a triangular piece of land. the perimeter feance that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side
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: Tom's uncle owns a triangular piece of land. the perimeter feance that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. the second longest side is 2 yards shorter than the longest side. What is the length of each side? This question is from textbook
You can put this solution on YOUR website! Tom's uncle owns a triangular piece of land. the perimeter fence that surrounds
the land measures 378 yards.
The shortest side is 30 yards longer than one-half of the longest side.
the second longest side is 2 yards shorter than the longest side.
What is the length of each side?
:
Let the 3 sides be, a, b, c, with a being the longest side
;
The perimeter equation:
a + b + c = 378
:
Write an equation for each statement:
"The shortest side is 30 yards longer than one-half of the longest side."
c = .5a + 30
:
"the second longest side is 2 yards shorter than the longest side."
b = a - 2
:
Substitute these for b & c in the perimeter equation
a + (a-2) + (.5a + 30) = 378
a + a + .5a - 2 + 30 = 378
2.5a + 28 = 378
2.5a = 378 - 28
2.5a = 350
a =
a = 140 yds is the longest side
then
b = 140 - 2
b = 138 yds
and
c = .5(140) + 30
c = 100 yds
;
:
Check solution, find the perimeter
140 + 138 + 100 = 378
