Construct a Δ ABC, in which BC = 6 cm, AB = 9 cm and ∠ABC = 60∘i.

1.	Construct a Δ ABC, in which BC = 6 cm, AB = 9 cm and ∠ABC = 60∘i. Construct the locus of all points inside Δ ABC, which are equidistant from B and C.ii. Construct the locus of the vertices of the triangle with BC as base, which are equal in area to triangle ABC.iii. Mark the point Q in your construction, which would make Δ QBC equal in area to Δ ABC, and isosceles.iv. Measure and record the length of CQ.
Answer» Construct a $Δ$ ABC, in which BC = 6 cm, AB = 9 cm and $∠$ ABC = 60 $^{\circ}$ i. Construct the locus of all points inside $Δ$ ABC, which are equidistant from B and C. ii. Construct the locus of the vertices of the triangle with BC as base, which are equal in area to triangle ABC. iii. Mark the point Q in your construction, which would make $Δ$ QBC equal in area to $Δ$ ABC, and isosceles. iv. Measure and record the length of CQ.

Construct a Δ ABC, in which BC = 6 cm, AB = 9 cm and ∠ABC = 60∘i. Construct the locus of all points inside Δ ABC, which are equidistant from B and C.ii. Construct the locus of the vertices of the triangle with BC as base, which are equal in area to triangle ABC.iii. Mark the point Q in your construction, which would make Δ QBC equal in area to Δ ABC, and isosceles.iv. Measure and record the length of CQ.

Answer»

Construct a $Δ$ ABC, in which BC = 6 cm, AB = 9 cm and $∠$ ABC = 60 $^{\circ}$

i. Construct the locus of all points inside $Δ$ ABC, which are equidistant from B and C.

ii. Construct the locus of the vertices of the triangle with BC as base, which are equal in area to triangle ABC.

iii. Mark the point Q in your construction, which would make $Δ$ QBC equal in area to $Δ$ ABC, and isosceles.

iv. Measure and record the length of CQ.

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