Question

Construct two similar triangles with the ratio of corresponding sides as 3:7. Verify the construction by measurement.

Answer 1

Steps of construction
1. Draw a triangle of any dimensions.
2. From vertex B, draw a ray BX.
3. Draw equal arcs $B_1,B_2,..B_7$ on the ray.
4. Join $B_{7}C$.
5. From $B_3$, draw a line parallel to $B_{7}C$ cutting BC at $C_1$.
6. From $C_1$, draw another line $A_1{C}_1$ parallel to $AC$, cutting AB at $A_1$.
BAC and $B{A}_1{C}_1$ are the required similar triangles.