In a triangle ABC AB = BC = 95, AC = 114. Find the length of the median BM.
| March 27, 2021 | education
Since in this problem the triangle is isosceles, the median drawn from the vertex B will divide the side AC in half. Consider a triangle ABM, in this triangle AB = 95, AM = 57, Then by the Pythagorean theorem: BM ^ 2 = AB ^ 2 – AM ^ 2 => BM = √ (AB ^ 2 – AM ^ 2) = √ (9025 – 3249) = √ (5776) = 76.
Answer: BM = 76
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