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4. jazmin knows the height h and area, a, of a triangular table in his …

Question

  1. jazmin knows the height h and area, a, of a triangular table in his classroom. which formula could he use to find the base, b, of this triangular table?
  2. $b=\frac{1}{2}ah$
  3. $b = \frac{a}{2h}$
  4. $b=\frac{2a}{h}$
  5. $b=\frac{2h}{a}$

Explanation:

Step1: Recall triangle - area formula

The area formula of a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base, and $h$ is the height.

Step2: Solve for the base $b$

Starting from $A = \frac{1}{2}bh$, multiply both sides of the equation by 2 to get $2A=bh$. Then divide both sides by $h$: $b=\frac{2A}{h}$.

Answer:

  1. $b = \frac{2A}{h}$