Question

1. Construct a A ABC in which BC = 4.3 cm, AB = 5-2 cm and AC = 6.4 cm.
2. Construct a A ABC in which BC= 6.6 cm, AC = 4.8 cm and AB = 5.9 cm.
3. Construct a A ABC in which AB = 4.7 cm, ZA = 45° and AC = 6.1 cm.
4. Construct a A ABC in which BC - 7.5 cm, ZC = 60° and AC = 8 cm.
5. Construct a A ABC, in which AB = AC = 6.4 cm and ZA = 120°.
6. Construct a A ABC, in which BC = 6.8 cm, ZB = 60° and ZC = 75°.
7. Construct a A ABC in which AB = 4.5 cm, ZA = C = 60°.
8. Construct a right-angled triangle one side of which measure 4-5 cm and the length of
hypotenuse is 7 cm.
9. Construct a A ABC in which base AB = 8.5 cm, ZA = 90° and hypotenuse BC = 10 cm.​

Answer 1

Answer:

(1) 5.3 cm

Steps of construction:

1. Draw line segment AB = 5.3 cm.

2. With A as centre and radius more than half of AB, mark two arcs, one above and other below the line AB.

3. With B as centre and same radius, draw two arcs cutting the previous drawn arcs and name the point of intersection as X and Y.

4. Join XY and name the point where this line cuts AB as point P.

XY is the perpendicular bisector of AB.