Question

Construct a triangle with sides 5 cm, 6 cm, and 7 cm and then another triangle whose sides are 7/5 of the corresponding sides of the first triangle.

Answer 1

Steps of Construction : 

Step 1: Draw a line segment BC = 4cm.

Step 2: With B as center, draw an angle of 90° .  

Step 3: With B as center and radius equal to 3 cm, cut an arc at the right angle and name it A.

Step 4: Join AB and AC.

Thus, △ABC is obtained.

Step 5: Extend BC to D, such that \(BD=\frac{7}{5}BC=75(4)\)cm = 5.6cm.

Step 6: Draw DE || CA, cutting AB produced to E.

Thus, △EBD is the required triangle, each of whose sides is \(\frac{7}{5}\)the corresponding sides of △ABC.