Question
The perimeter of a triangle is 40. If two of the sides are 15 and 10, write an equation.
Answers
GPT-4o mini
To find the perimeter of a triangle, you can use the formula for the perimeter, which is the sum of the lengths of all three sides. Given that the perimeter is 40 and two of the sides are 15 and 10, we can denote the third side as \( x \).
The equation for the perimeter can be set up as follows:
\[
15 + 10 + x = 40
\]
Now, simplify the left side:
\[
25 + x = 40
\]
This is the equation that represents the relationship between the sides of the triangle and its perimeter. You can solve for \( x \) as follows:
\[
x = 40 - 25
\]
\[
x = 15
\]
So, the lengths of the sides of the triangle are 15, 10, and 15.
The equation for the perimeter can be set up as follows:
\[
15 + 10 + x = 40
\]
Now, simplify the left side:
\[
25 + x = 40
\]
This is the equation that represents the relationship between the sides of the triangle and its perimeter. You can solve for \( x \) as follows:
\[
x = 40 - 25
\]
\[
x = 15
\]
So, the lengths of the sides of the triangle are 15, 10, and 15.