# KL is the midline of triangle ABC parallel to side BC. The area of triangle ABC is 108. Find the area of triangle KAL.

January 12, 2021 | education

| According to the property of the midline of a triangle, the midline cuts off a similar triangle, the area of which is one quarter of the original. That is, the triangle KAL is similar to the triangle ABC and the area of the triangle KAL = 1/4 of the area of the triangle ABC. Therefore, S (KAL) = 1/4 * S (ABC) = 108 * 1/4 = 27.

Answer: 27

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