Math Problem Statement

Solve the formula A=1/2bh for b

Solution

To solve the formula A=12bhA = \frac{1}{2}bh for bb, follow these steps:

  1. Start with the original formula: A=12bhA = \frac{1}{2}bh

  2. To isolate bb, first multiply both sides of the equation by 2 to eliminate the fraction: 2A=bh2A = bh

  3. Finally, divide both sides by hh to solve for bb: b=2Ahb = \frac{2A}{h}

So, the formula for bb is: b=2Ahb = \frac{2A}{h}

Would you like more details on any step or have any questions?

Here are 5 related questions for practice:

  1. If A=20A = 20 and h=5h = 5, what is bb?
  2. How would you rearrange the formula to solve for hh instead of bb?
  3. What is the geometric meaning of the formula A=12bhA = \frac{1}{2}bh?
  4. If bb is doubled and hh is halved, how does the area AA change?
  5. How can you verify the correctness of the formula b=2Ahb = \frac{2A}{h} by substituting back into the original equation?

Tip: When rearranging formulas, always perform the same operation on both sides of the equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations

Formulas

Area of a triangle formula A = 1/2 * base * height

Theorems

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Suitable Grade Level

Grades 7-9