Question

7. Isosceles triangle ABC is shown below with legs that measure 8 inches and a vertex angle of 50D. (a) Determine the area of ABC ' . Note that you will need to use right triangle trigonometry. Round to the nearest tenth of a square inch.

Answer 1

Answer:

The area of the triangle ABC is 32 square inches.

Step-by-step explanation:

We know that the given triangle is a right-isosceles triangle, which means its leg are equal.

The area of a triangle is defined as

$A=\frac{1}{2}bh$

Where $b=8$ and $h=8$. Replacing values, we have

$A=\frac{1}{2} \times 8 \times 8 = 32 \ in^{2}$

Therefore, the area of the triangle ABC is 32 square inches.