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  • Draw a right triangle ABC in which BC = 12 cm, AB = 5 cm and angle B = 90deg. Construct a triangle similar to it and of scale factor 2 by 3 Is the new triangle also a right triangle ?

Draw a right triangle ABC in which BC = 12 cm, AB = 5 cm and \angle B= 90^{\circ}.Construct a triangle similar to it and of scale factor \frac{2}{3} . Is the new triangle also a right triangle ?

Answers (1)

Solution
  Given BC = 12cm, AB = 5 cm, \angle B= 90^{\circ}
 

Steps of construction
1.   Draw a line BC = 12 cm
2.   From B draw AB = 5 cm which makes an angle of 90^{\circ} at B.
3.   Join AC
4.   Make an acute angle at B as < CBX
5.   On BX mark 3 point at equal distance at X_{1},X_{2},X_{3} .
6.   Join X_{3}C
7.   From X_{2}  draw X_{2}{C}'\parallel X_{3}C  intersect AB at {C}'
8.   From point {C}'  draw {C}'{A}'\parallel CA  intersect AB {A}'
Now  \bigtriangleup {A}'B{C}' is the required triangle and  \bigtriangleup {A}'B{C}'  is also a right triangle.

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infoexpert27

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