Question

Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.

Answer 1

1. Equilateral triangle
Steps of construction:
1. Draw a line BC = 4 cm.
2. With B as centre and 4 cm as radius, draw an arc above the line BC.
3. With C as centre and 4 cm as radius, draw an arc cutting the previous drawn arc. Name the point of intersection as point A.
Join AB and AC. $△$ABC is the required equilateral triangle.


2. Isosceles triangle
Steps of construction:
1. Draw a line QR = 6 cm.
2. With Q as centre and 4 cm as radius, draw an arc above the line QR.
3. With R as centre and 4 cm as radius, draw an arc cutting the previous drawn arc. Name the point of intersection as point P.
Join PQ and RP. $△$RPQ is the required isosceles triangle.


3. Scalene triangle
Steps of construction
1. Draw a line XY = 5 cm.
2. With X as centre and 3 cm as radius, draw an arc above the line XY.
3. With Y as centre and 4.5 cm as radius, draw an arc cutting the previous drawn arc. Name the point of intersection as point Z.
Join ZX and ZY. $△$ZXY is the required isosceles triangle.