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

univerkov | August 6, 2021 | education

In triangle ABC, angle B is straight. AB = 12 cm, BC = 16 cm. Point 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 KE.

Segment KE is perpendicular to BC by condition, segment AB is perpendicular to BC by construction, since BAC is rectangular, then KE is parallel to AB.

Point K is the middle of the hypotenuse AC, then the segment KE is the middle line of the triangle ABC, and then KE = AB / 2 = 12/2 = 6 cm.

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

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