 |
| Construction - 11 |
|
|
| |
| (a) Two angles and a side being given |
| |
To construct  given  and BC = 4 cm. |
| |
 |
| |
 |
| |
| (i) Draw a line BC = 4 cm. |
| |
| (ii) At B, construct an angle of 60o. |
| |
| (iii) At C, construct an angle of 45o on the same side of BC. |
| |
| (iv) Produce the arms of the angles to meet at A. |
| |
(v)  is the required triangle. |
| |
| (b) Three sides being given |
| |
To construct  ; given AB = 4.2 cm, BC = 5.6 cm and AC = 3.7 cm |
| |
 |
| |
 |
| |
| (i) Draw BC = 5.6 cm. |
| |
| (ii) With B as centre, draw an arc of radius 4.2 cm. |
| |
| (iii) With C as centre, cut the previous arc at A with another arc of radius 3.7 cm. |
| |
| (iv) Join AB and AC. |
| |
Then  is the required triangle. |
| |
| (c) Two sides and the included angle being given |
| |
To construct a  AB = 4.5 cm, BC = 3.7 cm and  |
| |
 |
| |
 |
| |
| (i) Draw BC = 3.7 cm. |
| |
| (ii) At B construct an angle of 60o. |
| |
| (iii) With B as centre, cut the second arm of the angle with an arc of radius 4.5 cm at A, so that BA = 4.5 cm. |
| |
| (iv) Join AC. |
| |
| (v) \ABC is the required triangle. |
| |
| (d) Hypotenuse and a side being given |
| |
To construct a right angled triangle ABC. Hypotenuse AC = 5.6 cm, BC = 4.5 cm,  |
| |
 |
| |
| (i) Draw BC = 4.5 cm |
| |
| (ii) Construct an angle of 90o at B |
| |
| (iii) With C as centre, cut the second arm of the angle with an arc of radius 5.6 cm at A, so that CA = 5.6 cm. |
| |
| (iv) Join AC. |
| |
\  is the required triangle. |
| |
 |
| |
