¶ 2024 AMC8 Problem 11
Problem:
The coordinates of are , , and , with . The area of is 12. What is the value of
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Consider the base of the triangle to be which has length . Given that the area of the triangle is , its height must be of length . Since , then must be .
Thus, is the correct answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions