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.
Steps of Construction:
1. First, we have drawn a triangle of given dimensions, let’s say the triangle is ABC as in figure 1.
2. Draw a line segment BC of length 7cm.
3. Make an arc of radius 5cm taking B as a center.
4. Similarly, draw an arc of 6 cm taking C as center cutting the first arc at A.
5. Join AB and AC.
6. Now we have to make a triangle which is 7/5 times of this triangle. That is we have to make a bigger triangle.
7. Draw a ray BZ making an acute angle with BC. Make 7 equal arcs along BZ starting from B then B1 and so on till B7.
8. Join B5C. Extend the line segment BC in the direction of C.
9. Draw a line from B7 parallel to B5C cutting the extended BC at C’.
10. Extend BA along A. Draw a line from C’ parallel to CA cutting the extended line BA at A’.
11. Then A’BC’ is the required triangle.