Question

what is the area? write your answer as a fraction or as a whole or mixed number. 1 1/3 cm, 1 2/3 cm (triangle with right angle) square centimeters submit

Explanation:

Step1: Recall triangle area formula

The area of a right triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Here, base is $1\frac{2}{3}\ \text{cm}$ and height is $1\frac{1}{3}\ \text{cm}$.

Step2: Convert mixed numbers to improper fractions

$1\frac{2}{3} = \frac{1\times3 + 2}{3} = \frac{5}{3}$, $1\frac{1}{3} = \frac{1\times3 + 1}{3} = \frac{4}{3}$.

Step3: Substitute into the formula

Area $= \frac{1}{2} \times \frac{5}{3} \times \frac{4}{3}$. Multiply the numerators: $1\times5\times4 = 20$, denominators: $2\times3\times3 = 18$. So we have $\frac{20}{18}$.

Step4: Simplify the fraction

$\frac{20}{18} = \frac{10}{9} = 1\frac{1}{9}$.

Answer:

$1\frac{1}{9}$