Question

construct a triangle whose perimeter is 12cm and ratio is ratio of their sides are is 3 is to 4 is to 5​

Answer 1

Construction of triangle

Step-by-step explanation:

Given: Perimeter of a triangle is 12cm. Ratio of their sides is 3: 4 : 5​.

Solution: Perimeter = sum of sides. Let side be x.  

Then 3x + 4x + 5x = 12

12x = 12

x = 1.

So the sides of the triangle are 3 cm, 4 cm and 5 cm.

Construction:

1. Draw a line segment BC = 4cm.
2. With B as center and 3 cm as radius, draw an arc.  
3. With C as center and 4 cm as radius, draw an arc such that it cuts the previous arc at A.
4. Join AB and AC.

ABC is the required triangle.