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,  ΔABC is obtained.
Step 5: Extend BC to D, such that BD =`7/5` BC = 75(4) cm = 5.6cm.
Step 6: Draw DE ||CA, cutting AB produced to E.

Thus, ΔEBD is the required triangle, each of whose sides is `7/5` the corresponding sides of ΔABC.