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