In triangle ABC EF is the middle line. The area of triangle BEF is 4. Find the area of triangle ABC.
| June 16, 2021 | education
The height of the triangle BEF is 2 times less than the height of the ABC triangle (by the property of the middle line), i.e. the middle line divides the triangle into two parts, which means
SBEF = 1/2 * h * EF = 4;
SABC = 1/2 * 2h * 2EF = 4 * 4 = 16.
Answer: The area of triangle ABC is 16.
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