The two perpendicular sides of a triangle are in ratio 3:4 and it's perimeter is 96 cm. Find the three sires of the triangle
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The two perpendicular sides of a right angled triangle are in the ratio of 3:4 and its perimeter is 96 cm. What are the three sides?
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Max Ma, lives in London (2004-present)
Answered Dec 15
Due to Pythagoras’ theorem, the third side must be c^^2.
c^^2 = 3^^2 + 4^^2
c^^2 = 9 + 16
c = square root of 25 = 5
Therefore, the ratios of the 3 sides are 3:4:5
The total of the ratios are 3+4+5 = 12
As the 12 parts make up 96, each one part would be 96/12 = 8
Therefore, the sides are 3*8,4*8 and 5*8 = 24, 32 and 40
Answer: Perpendicular sides are 24cm and 32cm, and the hypotenuse would be 40cm
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Max Ma, lives in London (2004-present)
Answered Dec 15
Due to Pythagoras’ theorem, the third side must be c^^2.
c^^2 = 3^^2 + 4^^2
c^^2 = 9 + 16
c = square root of 25 = 5
Therefore, the ratios of the 3 sides are 3:4:5
The total of the ratios are 3+4+5 = 12
As the 12 parts make up 96, each one part would be 96/12 = 8
Therefore, the sides are 3*8,4*8 and 5*8 = 24, 32 and 40
Answer: Perpendicular sides are 24cm and 32cm, and the hypotenuse would be 40cm
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