Question
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Triangle ABC has vertices as shown. What is the area of the triangle?
(1 point)
Responses
21 square units
21 square units
10.5 square units
10.5 square units
15−−√
square units
square root of 15 square units
27–√
square units
Triangle ABC has vertices as shown. What is the area of the triangle?
(1 point)
Responses
21 square units
21 square units
10.5 square units
10.5 square units
15−−√
square units
square root of 15 square units
27–√
square units
Answers
GPT 3.5
To find the area of the triangle, we can use the formula: Area = 1/2 * base * height
First, we need to find the base of the triangle. We can see that the base is 6 units.
Next, we need to find the height of the triangle. We can extend a perpendicular line from vertex A to side BC in order to form a right triangle. By doing this, we create a right triangle with legs of 3 units and 5 units. Using the Pythagorean theorem, we find that the height is 4 units.
Now, we can calculate the area of the triangle:
Area = 1/2 * 6 * 4 = 12 square units
So the correct answer is: 12 square units.
Click 'Check Answer' to verify.
First, we need to find the base of the triangle. We can see that the base is 6 units.
Next, we need to find the height of the triangle. We can extend a perpendicular line from vertex A to side BC in order to form a right triangle. By doing this, we create a right triangle with legs of 3 units and 5 units. Using the Pythagorean theorem, we find that the height is 4 units.
Now, we can calculate the area of the triangle:
Area = 1/2 * 6 * 4 = 12 square units
So the correct answer is: 12 square units.
Click 'Check Answer' to verify.