In triangle ABC, angle B is straight, AB = 12cm, BC = 16cm, K is the middle of the AC side.

univerkov | June 2, 2021 | education

In triangle ABC, angle B is straight, AB = 12cm, BC = 16cm, K is the middle of the AC side. From point K, the perpendicular KE is lowered to the side of the BC. Find the length of the KE.

Since point K is the middle of the AC side, the segment KE is perpendicular to BC, and leg AB is also perpendicular to AC, then AB is parallel to KE, and therefore KE is the middle line of triangle ABC.

Then the length of the segment KE is equal to half of the side AB.

KE = AB / 2 = 12/2 = 6 cm.

Answer: The length of the segment KE is 6 cm.

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