Construct a isosceles triangle with base 5.8 cm and verticle angle is 75 degree

Question

Construct an isoselceles triangle whose base is 5.8 cm and whose vertical angle is 75°

Answer 1

Steps of construction:

1. Draw a line segment BC of length 5.8 cm

2. Draw a ray BX such that ∠CBX = 52.5° [Since vertical angle is 75° then the two equal angles should be 52.5° each]

3. Now draw another ray CY such that ∠BCY = 52.5°

4. Mark the point of intersection of two rays as A. ABC is the required isosceles triangle.