Q. 65.0( 2 Votes )

Construct a triangle ABC whose perimeter is 12 cm, ∠B = 60°  and ∠C = 45°.

Answer :

                                                     
Steps of Construction
1. Draw a ray PX and cut off a line segment PQ = 12 cm from it.
2. At P, construct ∠YPQ = 30°(60°)
3. At Q, construct ∠ZQP = 22(45°). 
Let the rays PY and QZ intersect at the point A.
4. Draw the perpendicular bisector of AP intersecting PQ at a point B.
5. Draw the perpendicular bisector of AQ intersecting PQ at a point C.
6. Join AB and AC.
Then, ABC is the required triangle.

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