construct a triangle whose perimeter is 12cm and ratio is ratio of their sides are is 3 is to 4 is to 5
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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:
- Draw a line segment BC = 4cm.
- With B as center and 3 cm as radius, draw an arc.
- With C as center and 4 cm as radius, draw an arc such that it cuts the previous arc at A.
- Join AB and AC.
ABC is the required triangle.
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