the perimeter of a triangle is 195mm if the length of the sides are consecutive odd integers. what is the length of each side?
To start you off -- divide 195 by 3.
you get 65 is that the answer. but the triangle has three sides two would be equal and the bottom one would be longer right?
It says that the sides are "consecutive odd integers." That means that each side is a different length.
What 3 consecutive odd integers include 65?
To find the lengths of the sides of the triangle, we need to make use of the information given and solve for the consecutive odd integers.
Let's assume the lengths of the sides of the triangle are x, x+2, and x+4 (consecutive odd integers).
The perimeter of a triangle is calculated by adding the lengths of its sides. According to the given information, the perimeter is 195mm. So, we can set up the following equation:
x + (x+2) + (x+4) = 195
Now, let's solve the equation:
3x + 6 = 195
Subtracting 6 from both sides:
3x = 189
Dividing both sides by 3:
x = 63
So, the length of the first side of the triangle is 63mm. Since the sides are consecutive odd integers, the lengths of the other two sides will be 65mm and 67mm.
Therefore, the lengths of the sides of the triangle are 63mm, 65mm, and 67mm.