Construct a triangle ABC with side BC = 8 cm ∠ B = 45∘
| Construct a triangle ABC with side BC = 8 cm, ∠ B = 45∘, ∠ C = 30∘. Then construct a triangle whose sides are (43) times the corresponding sides of Δ ABC. [3 MARKS]
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Right Answer is:
SOLUTION
Construction : 2 Marks
Steps of construction : 1 Mark
Steps of construction :
1.Construct Δ ABC with given measurments.
2. Construct an acute angle ∠ CBZ at B on opposite side of vertex A of Δ ABC.
3. Mark-off four (greater 4 of and 3 in 43) points B1,B2,B3,B4 on BZ such that
BB1=B1B2=B2B3=B3B4
4. Join B3 (the third point) to C and draw a line through B4C′ parallel to B3C, intersecting the extended line segment BC at C'.
5. Draw a line through C' parallel to CA intersecting the extended line segment AB at A'.
6. Triangle A'BC' so obtained is the required triangle.
