Answer: The three sides are 15 cm, 25 cm, 30 cm
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Explanation:
Let x be some positive real number
The sides are in ratio 3:5:6 which means we can multiply all three sides by x getting 3x:5x:6x
The sides of the triangle are 3x, 5x and 6x. The sides add up to the perimeter 70
3x+5x+6x = 70
14x = 70
x = 70/14
x = 5
With this x value, we can find the three sides
- 3x = 3*5 = 15
- 5x = 5*5 = 25
- 6x = 6*5 = 30
The three sides are 15 cm, 25 cm, 30 cm.
As a check:
15+25+30 = 40+30 = 70
and note how the ratio 15:25:30 reduces to 3:5:6 after dividing all three parts by the GCF 5
Both conditions are satisfied, so we have confirmed our answers.
