Question

1. the area of a triangle is 96 cm². the height is 16cm. find the base.

Explanation:

Step1: Recall area formula

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

Step2: Rearrange formula for base

We can rewrite the formula for $b$ as $b = \frac{2A}{h}$.

Step3: Substitute values

Given $A = 96\ cm^{2}$ and $h=16\ cm$, substitute into the formula: $b=\frac{2\times96}{16}$.

Step4: Calculate base

$b=\frac{192}{16}=12\ cm$.

Answer:

$12\ cm$