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elena-s [515]
2 years ago
14

A triangle has a perimeter of 165cm the first side is 65 cm less than twice the second side the third side is 10 cm less than th

e second side find the length of each side of the triangle what equation represents the perimeter of the triangle if the second side is length s
Mathematics
1 answer:
katrin2010 [14]2 years ago
5 0

Answer:

The sides of the triangle are:

Second side = 60 cm

First side = 55 cm

Third side = 50 cm

The perimeter equation can be given as:

4s-75=165

Step-by-step explanation:

Given:

Perimeter of triangle = 165 cm

First side = 65 cm less than twice the second side

Third side = 10 cm less than the second side

To find length of each side and write the equation that represents the perimeter of triangle.

Solution:

Let length of second side be = s cm

First side will be given as = (2s-65) cm

Third side will be given as =  (s-10) cm

Perimeter of triangle = Sum of all sides

Thus, perimeter can be given as:

⇒ First\ side+ Second\ side+Third\ side

⇒ 2s-65+s+s-10

Simplifying by combining like terms.

⇒ 4s-75

We know the perimeter of triangle = 165 cm

So, the perimeter equation can be given as:

4s-75=165

Solving for s.

Adding 75 both sides.

4s-75+75=165+75

4s=240

Dividing both sides by 4.

\frac{4s}{4}=\frac{240}{4}

s=60

Thus, the sides of the triangle are:

Second side = 60 cm

First side = 2(60)-65 = 55 cm

Third side = 60-10 = 50 cm

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