Using Ruler and Compasses Only, Construct a δAbc from the Following Data: Ab + Bc + Ca = 12 Cm, ∠B = 45° and ∠C = 60°. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.

Advertisement Remove all ads


Steps of construction:
Step 1: Draw a line segment XY of 12cm.
Step 2: Draw `∠`DXY = `∠`B = 45° and `∠`EYX = `∠`C = 60°
Step 3: Draw the angle bisectors of angles of DXY and EYX which intersects each other at A.
Step 4: Draw the perpendicular of AX and AY which intersect XY at B and C respectively.
Step 5: Join AB and AC
∴Δ ABC is the required triangle


Concept: Some Constructions of Triangles
  Is there an error in this question or solution?


RD Sharma Mathematics for Class 9
Chapter 16 Constructions
Exercise 16.3 | Q 9 | Page 18

Video TutorialsVIEW ALL [1]


View all notifications

      Forgot password?
View in app×