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Question
Construct an isosceles right-angled triangle, having hypotenuse= 8 cm. Draw its lines of symmetry.
Solution
Steps of construction:
(i) Draw a line segment BC= 8 cm
(ii) Draw its perpendicular bisector whidi intersects BC at D. With Das centre and BD or CD as radius, draw a semi-circle.
(iii) Produce the perpendicular bi sector of BC which intersects the ci rel e at A.
(iv) Join AB and AC. Triangle ABC is the required isosceles right-angled triangle.
The perpendicular bisector of hypotenuse BC is the line of symmetry.
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