Question

Construct a triangle XYZ in which XY = 5 cm, YZ = 5.5 cm and ∠XYZ = 100°.

Answer 1

Steps of construction:

(1) Draw a sufficiently long line segment using a ruler.

(2) Locate points X and Y on it such that XY = 5 cm.

(3) Construct a sufficiently long line segment YM at Y such that ∠XYZ = 100°.

(4) With Y as the centre and radius 5.5 cm, draw an arc that cuts YM at Z.

(5) Join XZ.

Then, XYZ is the required triangle.