7. Construct an isosceles right-angled triangle, having hypotenuse = 8 cm. Draw its lines of symmetry.

Home » 7. Construct an isosceles right-angled triangle, having hypotenuse = 8 cm. Draw its lines of symmetry.

7. Construct an isosceles right-angled triangle, having hypotenuse = 8 cm. Draw its lines of symmetry.

Solution:-

Steps of construction:

1. Draw a line segment $BC = 8 cm$ .

2. Then draw its perpendicular bisector which intersects BC at D.

3. With D as a center and BD or CD radius, draw a semi-circle.

4. Now produce the perpendicular bisector of BC which intersects the circle at A

5. Join AB and AC, so $\Delta ABC$ is the required isosceles right angled triangle.

Therefore, perpendicular bisector hypotenuse BC is the lines of symmetry of isosceles right angled triangle.

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