Algebra 1 story problem

Question

The formula for the area of a triangle is a=1/2bh, where A represents the area, b is the base, and h is the height of the triangle. Solve the equation for b.

Answer 1

Hello, thank you for taking the time to post your question!

You want to start with the general equation that is given

A = ½ * b * h

Then rearrange to solve for the value of “b” algebraically. When I do that I get

A = ½ * b * h

2A = b*h

2A / h = b

So the solved equation here is b = 2A/h

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

A = 1/2bh

 

We want to solve the equation for b, so we want to get the b term by itself

 

Divide both sides by 1/2:

 

A/(1/2)  = (1/2*b*h)/(1/2)

 

This causes the 1/2 to cancel on the right hand side. 

 

And now A/(1/2) = 2A

 

2A = b*h

 

Next we need to divide both sides by h:

 

2A/h = (b*h)/h

 

This causes the h terms to cancel out on the right hand side leaving us with:

 

2A/h = b

 

And we have solved for b!