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Question 206904This question is from textbook
Prentice Hall Mathematics: Alegbra 2
: The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30 cm? This question is from textbook Prentice Hall Mathematics: Alegbra 2 Found 2 solutions by rfer, stanbon:
Answer by rfer(16321)
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3x=7.5
4x=10
5x=12.5
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3x+4x+5x=30
12x=30
x=2.5
Answer by
stanbon(75887)
(Show Source): You can put this solution on YOUR website!
The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30 cm?
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Equation:
3x + 4x+5x = 30 cm
12x = 30
x = 5/2
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3x = 3*(5/2) = 15/2
4x = 4*5/2 = 10
5x = 5*(5/2) = 25/2
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Cheers,
Stan H.
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Solution Ratio in the sides of a triangle= 3 : 4 : 5
Perimeter = 144 cm
Sum of ratios= 3+4+5=12
∴ First side =
14412×3=36cm
Second side =
14412×4=48cm
Third side =
14412×5=60cm
∴s=Perimeter2=1442=72
∴
Area=√s(s−a)(s−b)(s−c)=√72(72−36)(72−48)(72−60)=√72×36×24×12√12×3×2×12×3×12×2×12=12×12×3×2=864cm2
Length of altitude on the longest side corresponds to
60 cm which is equal to
Area×2Base=864×260=172860
=28810=28.8cm
Construction Area of a Triangle - By Heron's Formula Standard IX Mathematics Suggest
Corrections 26 | 
