A triangle has three sides. The second side is more than double the first side and the third side is three less than the first side. The perimeter is 110 cm. How long are the sides?

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03-11-2020
Mathematics

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A triangle has three sides. The second side is more than double the first side and the third side is three less than the first side. The perimeter is 110 cm. How long are the sides?

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adefunkeadewole adefunkeadewole · Answer 1 · 2020-11-04T01:30:29+01:00

Answer:

a = 22 cm

b = 45 cm

c = 43 cm

Step-by-step explanation:

Perimeter of a Triangle = a + b + c

110 cm = a + b + c

A triangle has three sides.

a = First side

b = second side

c = Third side

The second side is more than double the first side

= b = 2a + 1

The third side is three less than the first side.

= c = 2a + 1 - 2

The perimeter is 110 cm. How long are the sides?

a + 2a + 1 + 2a -1 = 110

5a = 110

a = 110/5

a = 22 cm

2a +1 = b

2(22) + 1 = 45

b = 45 cm

For c

2a - 1 = c

2(22) - 1 = c

c = 44 - 1

c = 43 cm

mcbridechloe04 mcbridechloe04 · Answer 2 · 2021-02-03T20:30:39+01:00

Answer:

Answer:

a = 22 cm

b = 45 cm

c = 43 cm

Step-by-step explanation:

Perimeter of a Triangle = a + b + c

110 cm = a + b + c

A triangle has three sides.

a = First side

b = second side

c = Third side

The second side is more than double the first side

= b = 2a + 1

The third side is three less than the first side.

= c = 2a + 1 - 2

The perimeter is 110 cm. How long are the sides?

a + 2a + 1 + 2a -1 = 110

5a = 110

a = 110/5

a = 22 cm

2a +1 = b

2(22) + 1 = 45

b = 45 cm

For c

2a - 1 = c

2(22) - 1 = c

c = 44 - 1

c = 43 cm