In triangle MKP, the median MC is half of the side KP. Find M of triangle MKP.

univerkov | March 1, 2021 | education

Consider triangle MKP. His median MC is equal to half of the side KP, therefore MC = KC = CP. Next, consider the triangle MKC. Its MC side is equal to the KC side, and the C angle is 90 °. It follows from this that the angle K = KMC = 45 °. Next, consider the triangle MCP. Its MC side is equal to the CP side, and the C angle is 90 °. It follows from this that the angle P = CMP = 45 °. Angle M = KMC + CMP. M = 45 + 45.

M = 90.

Answer: Angle M is 9 °.

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