# Construct a △ABC with base BC = 3.5 cm, vertical angle ∠BAC = 45˚ and median through the vertex A is 3.5 cm .

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Construct a △ABC with base BC = 3.5 cm, vertical angle ∠BAC = 45˚  and median through the vertex A is 3.5 cm . Write also the steps of construction.

answered Mar 15 by (-605 points)

Steps of construction :​

1.Draw a line segment BC = 3 cm and make ∠CBP = 45˚.

2. Construct EB ⊥ BP.

3. Draw the perpendicular bisector of BC its intersecting BE  in O and BC in D.

4. Draw a circle taking O as centre and OB as radius.

5. Now with D as centre and radius = 3.5 cm draw arcs of the circle intersecting the above drawn circle in A and A’.

6. Join AB, AC and A’B, A’C. Then the △s, ABC and A’BC are the required triangles.
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