The perimeter of a triangle is 29 mm. The length of the first side is twice the length of the second side. The length of the third side is 5 more than the length of the second side. How do you find the side lengths of the triangle?
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, it is given that the perimeter is 29mm. So for this case:
So solving for the length of the sides, we translate statements in the given into equation form.
"The length of the 1st side is twice the length of the 2nd side"
In order to solve this, we assign a random variable to either
so we know that:
but since we let
"The length of the 3rd Side is 5 more than the length of the 2nd Side."
Translating the statement above to equation form...
once again since we let
Knowing the values (in terms of
Using the computed value of