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If the sides of a triangle are in the ratio 5: 12: 13, what is the length of each side of the triangle if the perimiter of the triangle is 15
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Feb 10, 2018
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If the sides of a triangle are in the ratio 5: 12: 13, what is the length of each side of the triangle if the perimiter of the triangle is 15
Mathematics
high-school
Amogh Natu
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Amogh Natu
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5x+12x+13x=15
30x=15
x=15:30
x=0,5
5*0,5=2,5
12*0.5=6
13:0,5=6,5
2,5+6+6,5=15
ButterDog
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Feb 11, 2018
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So the perimeter of the first triangle is 30; since you are given each side you can set up 3 ratios to find the unknown side lengths.
Thus side 5 would correspond to 2.5
Side 12 would correspond to 6
And side 13 would be 6.5
Another way to look at it is that since the perimeter of triangle 2 decreases by half (from 30 to 15), you can assume all side will also decrease by half
Rossanna
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Feb 16, 2018
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Rossanna
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