Question

Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45°.

Answer 1

Sol;:

Steps of construction:

1. Draw a line segment XY of 6.4cm.

2. Draw ∠DXY = B = 60^o and ∠EYX =∠C = 45^o

3. Draw the angle bisector of ∠DXY and ∠EYX which interest each other at A.

4. Draw the perpendicular bisector of AX and AY which interest XY at B and C respectively.

5. Join AB and AC

Therefore ΔABC is the required triangle.