Construct a ΔABC in which BC = 5 cm, ∠B = 60° and AC + AB=7.5 cm.

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asked Feb 2, 2018 in Class IX Maths by aman28 (-892 points)
Construct a ΔABC in which BC = 5 cm, ∠B = 60° and AC + AB =7.5 cm.

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3 Answers

+1 vote
answered Feb 2, 2018 by saurav24 Expert (1,404 points)

Given, in ΔABC, BC=5 cm, ∠B=60° and AC + AB=7.5 cm. To construct the triangle ABC use the following steps.
1.Draw the base BC = 5 cm.
2.At the point B make an ∠XBC = 60°.
3.Cut a line segment BD equal to AB + AC = 7.5 cm from the ray BX.

4.Join DC.
5.Make an ∠DCY = ∠BDC.
6.Let CY intersect BX at A.
Then, ΔABC is the required triangle.

0 votes
answered Jan 1 by anandkthas gmail.com Expert (2,014 points)
even i want the solution
0 votes
answered Jan 6 by anandkthas gmail.com Expert (2,014 points)
the answer is 7.5 cm

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