Question

construct a triangle ABC in which BC is equals to 7 cm angle b is equal to 75 degree and AB+AC =13​

Answer 1

Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.

Given: In AABC, BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.

Required: To construct the triangle ABC.

Steps of Construction:

1. Draw the base BC = 7 cm.

2. At the point B make an angle XBC = 75°.

3. Cut a line segment BD equal to AB + AC (= 13 cm) from the ray BX.

4. Join DC.

5. Make an ∠DCY = ∠BDC.

6. Let CY intersect BX at A.

Then, ABC is the required triangle.

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