Question

what is the area? write your answer as a fraction or as a whole or mixed number. triangle with base \\(\frac{2}{3}\\) mm and height \\(\frac{2}{5}\\) mm \\(\square\\) square millimeters submit

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the base \( b = \frac{2}{3} \) mm and the height \( h = \frac{2}{5} \) mm.

Step2: Substitute values into formula

Substitute \( b = \frac{2}{3} \) and \( h = \frac{2}{5} \) into the formula: \( A = \frac{1}{2} \times \frac{2}{3} \times \frac{2}{5} \).

Step3: Simplify the expression

First, multiply \( \frac{1}{2} \) and \( \frac{2}{3} \): \( \frac{1}{2} \times \frac{2}{3} = \frac{1 \times 2}{2 \times 3} = \frac{1}{3} \). Then multiply this result by \( \frac{2}{5} \): \( \frac{1}{3} \times \frac{2}{5} = \frac{1 \times 2}{3 \times 5} = \frac{2}{15} \).

Answer:

\(\frac{2}{15}\)