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12345 [234]
3 years ago
5

the perimeter of a triangle is 62, the 1st side is twice the length of the second side, the third side is 6 more than the second

side. what is the length of each side?
Mathematics
1 answer:
vfiekz [6]3 years ago
7 0
We have three sides in this triangle,
first side=2x
second side=x
third side=x+6

Perimeter of a triangle=sum of all sides.
Then, we can suggest this equation:
(2x)+x+(x+6)=62
4x+6=62
4x=62-6
4x=56
x=56/4
x=14

first side=2x=2(14)=28 cm
second side=14 cm
third side=x+6=14+6=20 cm

The length of the sides would be: 28 cm, 14 cm and 20 cm. 
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Well, the answer quite simple ....there are 4! ways to arrange these numbers...and as 4! = 4*3*2*1 = 24

hence 24 is the correct answer....


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as first place is acquired by a certain no. that leaves three no. to fill third place and when third place I'd occupied it leaves 2 numbers to fill second place and lastly only one no. to fill the last place .....so it's result will be like 4*3*2*1.



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