An artist forms triangle ABC. She connects the midpoints of its sides to form triangle DEF inside it. What is the area of triangle DEF in relation to triangle ABC?
Show answer & explanation
Correct answer: C
Explanation
Given:
Triangle DEF is formed by joining the midpoints of all sides of triangle ABC.
By the formula:
The area of a triangle formed by joining the midpoints of the sides of a triangle = 1/4 of the area of the original triangle.
Let the area of triangle ABC = A
The area of triangle DEF = (1/4) × A
Hence,
Area(DEF) / Area(ABC)
= (A/4) / A
= 1/4