Question

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3cm. Then, construct another triangle whose sides are `5/3`times the corresponding sides of the given triangle.

Answer 1

Steps of Construction
Step 1: Draw a line segment BC = 3cm.
Step 2: At B, draw ∠XBC = 90° .
Step 3: With B as center and radius 4 cm, draw an arc cutting BX at A.
Step 4: Join AC. Thus, a right ΔABC is obtained.
`" Step 5: Extend BC to D such that " BD = 5/3 BC 5/3 xx cm = 5cm. `
Step 6: Draw DE ||CA, cutting BX in E.

Here. ΔBDE is the required triangle similar to ΔABC such that each side of ΔBDE is `3/5`times the corresponding side of ΔABC.