Question

Construct a triangle using the given data: XY = 5.2cm, XZ = 6.5cm and ∠X = 75°

Answer 1

XY = 5.2cm, XZ = 6.5cm and ∠X = 75°

Steps of Construction:
1. Draw a line segment XY = 5.2cm.
2. With X as centre, draw an arc cutting XY at L.
3. With L as centre and the same radius, cut the arc at M and then from M, with same radius, cut the arc at N. 
4. With M and N as centre bisect ∠MXN thus formed to draw a ray XP.
5. Again bisect the ∠MXP. Let XR be the bisector. XR makes an angle of 75° with XY.
6. With X as centre and radius 6.5cm cut an arc on XR and mark the point as Z.
7. Join YZ.
Thus, XYZ is the required triangle.