Math Problem Statement
Solution
The problem states:
The area of a triangle is represented by the formula:
where is the base and is the height. The task is to rewrite this formula in a way that makes it easy to find the base if we know the area and the height .
To isolate , we can rearrange the formula as follows:
-
Start with the formula for the area of a triangle:
-
Multiply both sides by 2 to eliminate the fraction:
-
Divide both sides by to solve for :
So, the equation that makes it easy to find the base given the area and height is:
Would you like a further breakdown of the solution steps or have any other questions?
Here are some related questions you might find useful:
- How do you rearrange a formula to isolate a variable?
- How does changing the height affect the base if the area is constant?
- What happens to the value of if both and double?
- How can we use this formula to check if a given triangle has the correct dimensions for a specific area?
- How does this formula relate to the area of other shapes?
Tip: When rearranging equations, always perform the same operation on both sides to maintain equality.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Formulas
Area of a triangle A = 1/2 * b * h
Theorems
-
Suitable Grade Level
Grades 6-8