Question

construct an isosceles right- angled triangle in which the hypotenuse is 8cm long.​

Answer 1

(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.

Answer 2

Exercise 14B

15. Construct an isosceles right- angled triangle in which the hypotenuse is 8 cm long.

Steps of construction:

1) A line segment AB = 8 cm is drawn.

2) With the help of compass, taking A and B as centre, angle XAB and angle YBA = 90° is drawn.

3) Angle XAB and angle YBA are bisected.

4) AP and BQ are joined cutting each other at C.

5) ∆ABC is the required triangle.