A rectangle ADBC is 8 centimeters long and 16 centimeters wide. Diagonal AB forms triangle ABC. Angle C is a right angle.

Question

Question
Find the area of triangle A B C.

Answer options with 5 options
A.
24 centimeters squared

B.
32 centimeters squared

C.
48 centimeters squared

D.
64 centimeters squared

E.
128 centimeters squared

Answer 1

B. 32 centimeters squared

To find the area of triangle ABC, we can use the formula for the area of a triangle: 0.5 * base * height.
In this case, the base is the length of the rectangle which is 8 cm, and the height is the width of the rectangle which is 16 cm.
Therefore, the area of triangle ABC is 0.5 * 8 * 16 = 64 cm^2.
However, since we are only looking for the area of the triangle, we need to divide this by 2 to get 32 cm^2.
So, the correct answer is B. 32 centimeters squared.