Question
The formula for the area of a triangle is \( A=\frac{1}{2} b h \). Which of the following is the same equation solved for the variable \( b \) ? b.) \( b=\frac{A}{2 h} \) b.) \( b=\frac{2 A}{h} \) c.) ci) \( b=\frac{2 h}{A} \)
Ask by Reed Flynn. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The equation solved for \( b \) is \( b = \frac{2A}{h} \).
Solution
To solve the equation for \( b \), follow these steps:
Given the area formula of a triangle:
\[ A = \frac{1}{2} b h \]
1. **Multiply both sides by 2** to eliminate the fraction:
\[ 2A = b h \]
2. **Divide both sides by \( h \)** to solve for \( b \):
\[ b = \frac{2A}{h} \]
Therefore, the equation solved for \( b \) is:
\[ b = \frac{2A}{h} \]
**Correct Option:**
\[ \boxed{b = \frac{2A}{h}} \]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the area formula for \( b \), start with the equation \( A=\frac{1}{2} b h \). Multiply both sides by 2 to eliminate the fraction, resulting in \( 2A = b h \). Next, divide both sides by \( h \) to isolate \( b \), giving you \( b = \frac{2A}{h} \). As for common mistakes, watch out for mixing up the order of operations! Many students rush into multiplying or dividing without carefully rearranging the formula step by step, leading to confusion. Always keep track of your variables!
