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  • 15-08-2017
  • Mathematics
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A right triangle has legs of 2 feet and 18inches. What is the perimeter of the triangle in inches?

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cubstellationoupyb6
cubstellationoupyb6 cubstellationoupyb6
  • 15-08-2017
Three sides to a triangle, let's call them a, b and c.

The perimeter is a+b+c

a=2ft=24in
b=18in
c=?

Pythagoras' Theorem is a²+b²=c²

a²+b²=c²
24²+18²=c²
576+324=c²
900=c²
√900=c
30=c

a=24in
b=18in
c=30in

perimeter=a+b+c
perimeter=24+18+30
perimeter=42+32
perimeter=72

72in=6ft
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