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Answers
Answer:
4cm, 6cm and 8cm
Explanation:
The perimeter of a triangle is 18 cm.
Its three sides are x, 1.5x and 2x.
So we have x+1.5x+2x =4.5x = 18 or
x = 18/4.5 = 4
So the sides are 4cm, 6cm and 8cm.
Answer:
The length of each side is 4cm, 6cm, and 8cm.
Explanation:
Given:
Ratio of sides = 1:1.5:2
Perimeter (P) = 18cm
To find:
Length of each side
Formula:
P = l1 + l2 + l3
Solution:
Since the sides are given to be in the ratio 1:1.5:2, let x be the common multiple.
Therefore, the sides are l1 = x, l2 = 1.5x, and l3 = 2x
The perimeter of a triangle is given as the sum of the length of all sides of the triangle. Therefore,
P = l1 + l2 + l3
Substituting the values of l1, l2, l3, and P, we get
P = x + 1.5x + 2x
18 = 4.5x
x = 18/4.5
x = 4cm
l1 = x =4cm
l2 = 1.5x = 1.5×4
l2 = 6cm
l3 = 2x = 2×4
l3 = 8cm
Therefore, the sides of the given triangle measure 4cm, 6cm, and 8cm.
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