Question

emma designed two triangular sails for a boat. answer parts a-c below.
a. what is the area of sail a?
the area of sail a is
(type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Identify triangle type and sides

Sail A is a right isosceles triangle with hypotenuse $c=12$ m. Let equal legs be $a$.

Step2: Calculate leg length via Pythagoras

Use $a^2+a^2=c^2$:
$$2a^2=12^2 \implies a^2=\frac{144}{2}=72 \implies a=\sqrt{72}=6\sqrt{2}$$

Step3: Compute triangle area

Area = $\frac{1}{2} \times a \times a$:
$$\text{Area}=\frac{1}{2} \times 72=36$$

Answer:

36