Construct each of the following and give justification: An equilateral triangle if its altitude is 3.2 cm.

Question

Philoid · Accepted Answer

Steps of Construction:

(i) Draw a ray XY.

(ii) Draw a perpendicular bisector PQ which intersects XY at M.

(iii) Along MP, cut off MA = 3.2 cm.

(iv) Draw an angle of 30° at point A on both sides of AM which intersect MX and MY at B and C, respectively.

Thus, ABC is the required triangle.