The perimeter of a triangle is 60 ft. One leg is 12 ft long. Of the two unknown sides, one of them is twice as long as the other.
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The sides of the triangle are 12 ft., 16 ft., and 32 ft.
Step-by-step explanation:
We have,
Perimeter = 60 ft.
1 leg = 12 ft.
also,
longer side = 2 × shorter side
Now,
Let the shorter side be x ft.
so, longer side will be 2 × x = 2x ft.
Now,
Perimeter is the sum of the sides.
∴ x + 2x + 12 = 60
3x + 12 = 60
3x = 60 - 12
3x = 48
x = 48/3
x = 16 ft.
So,
Shorter side = 16 ft.
Longer side = 2 × 16
= 32 ft.
Hence,
The sides of the triangle are 12 ft., 16 ft., and 32 ft.
Hope it helped and believing you understood it........All the best
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