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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:
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 = cm
First side will be given as = cm
Third side will be given as = cm
Perimeter of triangle = Sum of all sides
Thus, perimeter can be given as:
⇒
⇒
Simplifying by combining like terms.
⇒
We know the perimeter of triangle = 165 cm
So, the perimeter equation can be given as:
Solving for .
Adding 75 both sides.
Dividing both sides by 4.
Thus, the sides of the triangle are:
Second side = 60 cm
First side = = 55 cm
Third side = = 50 cm