The perimeter of a triangle is 93 feet. Side a of the triangle is twice as long as side b. Side c is 3 feet longer than side a.
Find the length of each side.
1 answer:
Answer:
a= 73.2
b =36.6
c = 76.2
Step-by-step explanation:
Perimeter of the triangle is the distance round the triangle.
Let the 3 sides be a, b and c
Side a of the triangle is twice as long as side b. This means
a = 2b
Side c is 3 feet longer than side a. This means
c = a + 3
The perimeter of the triangle is 93 feets. Formula for finding the perimeter of the triangle is
(a + b + c)/2
Therefore,
93 = (2b + b + 2b + 3)/2
93 = (5b + 3)/2
5b + 3 = 93 × 2 = 186
5b = 186 - 3 = 183
b = 183/5 = 36.6
a = 2b = 2 × 36.6 = 73.2
c = a + 3 = 73.2 +3 = 76.2
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