Question
Construct an isosceles triangle whose equal sides are 7 cm each and the base side is 5 cm. Draw all its lines of symmetry.
✓
Answer
Steps of construction:
>(i) Draw a line segment AB = 5 cm > >(ii) With A as centre, cut an arc of 7 cm on one side of line segment AB. > >(iii) With B as centre, cut an arc of 7 cm on same side of line segment AB. Let the point be C. > >(iv) Join AC and BC. ABC is the required triangle. > >(v) Draw angle bisector of angle C meeting AB at D. > >(vi) CD is perpendicular bisector of AB and AC=BC. Hence CD is the line of symmetry. > >Isosceles triangle has only one line of symmetry.
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