Question
A rectangle ADBC is 8 centimeters long and 16 centimeters wide. Diagonal AB forms triangle ABC. Angle C is a right angle.
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
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
Answers
GPT 3.5
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.
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.