Question

Construct an equilateral triangle of height 4.5 cm. Measure approximate length of the its side.

Answer 1

Steps of construction:

Step I: Draw a line segment XY.

Step II: Take a point M on XY and draw MZ ⊥ XY.

Step III: With M as the centre and radius 4.5 cm (equal to the height), draw an arc that cuts MZ at A.

Step IV: Mark points B and C on XY such that ∠MAB = 30° and ∠MAC = 30°.

ΔABC is the required triangle.

The approximate length of the side of ΔABC is 5 cm.