Construct a triangle ABC whose perimeter is 9 cm and the angles are in the ratio 3:4:5.

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Solution

Let the angles of ΔABC measure 3x, 4x and 5x

Perimeter = 9 cm

Step of construction:

1: Draw a line segment and locate points P and Q such that PQ = 9 cm.

2: Construct rays PR such thatand QS such that.

3: Draw bisectors PL and QM of angles QPR and PQS respectively such that they intersect at A.

4: Draw the perpendicular bisectors of AP and AQ and let them intersect PQ at points B and C respectively.

5: Join AB and AC.

Thus, ABC is the required triangle.

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