Construct an isosceles triangle ABC, BC=5cm and angle A = 72 - Maths - Constructions

Question

Construct an isosceles triangle ABC, BC=5cm and angle A = 72

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

∠A+∠B+∠C=180°    Angle Sum Property72°+2∠B=180°     Since ∠B=∠C , isosceles triangle2∠B=108°∠B=54°
∠C=54°Steps of Construction1 Draw a line segment BC=5 cm 
2 Draw a line BX at an angle 54° at point B and Draw a line CY at an angle 54° at point C 
3  Line BX and CY intersects at point A ;Thus ABC is the required triangle 
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