Question

find the area of the triangle and choose the appropriate result. triangle diagram: base 16 cm, height 30 cm (perpendicular). options: a 120 cm², b 240 cm², c 220 cm², d 480 cm²

Explanation:

Step1: Recall triangle area formula

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$.

Step2: Identify base and height

From the diagram, the base of the triangle is $16\ cm$ and the height is $30\ cm$.

Step3: Substitute values into formula

Substitute $base = 16$ and $height = 30$ into the formula: $A = \frac{1}{2} \times 16 \times 30$.
First, calculate $16 \times 30 = 480$. Then, $\frac{1}{2} \times 480 = 240$.

Answer:

B. $240\ cm^2$