Maths / Constructions / Construction of a triangle given a base and base angle and the difference of other two sides
Construct a triangle ABC in which BC = 8cm, and AB - AC = 3.5cm
| Explain Type||Explanation Content|
The below given steps will be followed to draw the required triangle.
- Step I: Draw the line segment BC = 8 cm and at point B, make an angle of 45°, say ∠XBC.
- Step II: Cut the line segment BD = 3.5 cm (equal to AB − AC) on ray BX.
- Step III: Join DC and draw the perpendicular bisector PQ of DC.
- Step IV: Let it intersect BX at point A. Join AC. ΔABC is the required triangle.
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)