Math Problem Statement

solve for b. A=1/2bh

Solution

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

Given equation:

A=12bhA = \frac{1}{2}bh

Step 1: Multiply both sides of the equation by 2 to eliminate the fraction:

2A=bh2A = bh

Step 2: Divide both sides by hh to solve for bb:

b=2Ahb = \frac{2A}{h}

Thus, the solution is: b=2Ahb = \frac{2A}{h}

Would you like further details or have any questions?

Here are 5 related questions to explore:

  1. How do you find hh if you know AA and bb?
  2. What is the formula for the area of a triangle, and how does it relate to this equation?
  3. How does this equation change if the base is not perpendicular to the height?
  4. What is the geometric interpretation of the equation A=12bhA = \frac{1}{2}bh?
  5. Can you apply this equation to find the area of any polygon?

Tip: When solving for a variable, aim to isolate it by performing inverse operations (like multiplication and division).

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometry

Formulas

Area of a triangle A = 1/2bh
b = 2A/h

Theorems

Formula for the area of a triangle

Suitable Grade Level

Grades 6-8