Question

Construct $△$XYZ in which base YZ = 7.4 cm, $\angle$XYZ = 45$°$ and XY $-$ YZ = 2.9 cm.

Answer 1

Steps of construction:
1. Draw YZ = 7.4 cm.
2. Draw ray YA, such that $\angle \mathrm{ZYA}=45°$.
3. With Y as centre and radius 2.9 cm, draw an arc, intersecting ray YA at point Q.
4. Join Q and Z.
5. Draw the perpendicular bisector of seg QZ, intersecting seg YQ(produced) at point X.
6. Join X and Z.
7. Hence, $△$XYZ is the required triangle.