Sides and median of triangle
Q01. Diagram
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Q02. Side AB and AC are given. Median of triangle is given
Construct the triangle
- Draw an triangle ABJ
- Given side AB = c and AC = b. Given median AD = m
- Let AJ = 2*AD = 2*m
- Let BJ = AC = b
- AB = c
- Use 3 given sides, we can construct a triangle
- Let D be mid point of AJ
- Join AD and extend to C. Let DC = AD
- Join AC
- Triangle ABC is the required triangle
Proof
- Since AC and AJ are bisect each other
- Hence ABJC is a parallolgram
- Hence AC = BJ = b
- AB = c
- AD = m
- Triangle ABC safistifies the given condition
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Q03. Sides AB and BC are given. Midian AD also given
Construct the triangle
- Draw line BC
- Draw mid point D on BC
- Use B as center draw circle with radius AB
- Use D as center draw circle with radius AD
- Two circle cut at A
- Join AC
- Triangle ABC is the required triangle
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