Final answer:
To construct a triangle with given side lengths, you can use a ruler and compass. To create a triangle with sides 7/5 of the original triangle, multiply each side length by 7/5.
Step-by-step explanation:
Constructing Triangles
To construct a triangle with sides 5cm, 6cm, and 7cm, you can use a ruler and compass.
1. Draw a line segment of 5cm as the base of the triangle.
2. From one end of the base, draw a 6cm line segment that forms an angle with the base.
3. From the other end of the base, draw a 7cm line segment that forms an angle with the base.
This will result in a triangle with sides 5cm, 6cm, and 7cm. To construct a triangle whose sides are 7/5 of the corresponding sides of the first triangle, simply multiply each side length by 7/5.
So, the sides of the second triangle would be (5cm * 7/5), (6cm * 7/5), and (7cm * 7/5).