In a triangle ABC D,E are the midpoints of sides ABandAC.JoinD,E then DE=4cm.Find the length of BC.Plzz tell me fastly guys ,iwant it befor 11:0 clock
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Compare the two triangles ABC and ADE. angle A is common. AD and AB are parallel. AE and AC are parallel. It is known that a line joining midpoints of two sides is parallel to the third side. So they are similar triangles.
Since AD = AB/2 and AE = AC/2, DE = BC/2 => BC = 2 DE = 8 cm
Since AD = AB/2 and AE = AC/2, DE = BC/2 => BC = 2 DE = 8 cm
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