Question

construct a triangle with perimeter 12 cm and ratio of their angle are 3:4:5:
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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

We are given with perimeter of triangle and ratio of its sides. We need to construct a triangle using the given information.

Let the angles of the given triangle be 3x, 4x and 5x .

Then, 3x + 4x + 5x = 180°

Therefore, x = 15

Hence the angles are 45°, 60° and 75°.

Steps of construction:

Let ∠A = 45°, ∠B = 60°, ∠C = 75°

Perimeter = 12 cm and base angles are 60°, 75°.

1. Draw a line segment PQ = 12 cm

2. Construct ∠QPR = 60° and ∠PQS = 75°

3. Draw the bisectors of ∠QPR and ∠PQS to meet A.

4. Draw the perpendicular bisectors of PA and QA to meet PQ and B and C respectively.

5. Join AB and AC

Thus, ABC is the required triangle.

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