Answer:
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Step-by-step explanation:
Given:
Perimeter of ∆ = 27 cm
Side lengths of ∆: x, 2x, and 3x - 3
Required:
Measure of the shortest side and measure of the longest side.
SOLUTION:
Sum of all sides of the ∆ = Perimeter
[tex] x + 2x + (3x - 3) = 27 [/tex]
Solve for x
[tex] x + 2x + 3x - 3 = 27 [/tex]
Collect like terms
[tex] 6x - 3 = 27 [/tex]
Add 3 to both sides
[tex] 6x = 27 + 3 [/tex]
[tex] 6x = 30 [/tex]
Divide both sides by 6
[tex] x = \frac{30}{6} [/tex]
[tex] x = 5 [/tex]
Length of each side of the ∆:
x = 5 cm
2x = 2(5) = 10 cm
3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
