InterviewSolution
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InterviewSolution
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Draw a right DeltaABC in which BC=12 cm, AB=5 cm, and angleB=90^(@). Construct a triangle similar to it and of scale factor (2)/(3). Is the new triangle also a right triangle ? |
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Answer» Solution :Steps of construction 1. Draw a LINE segment BC=12 cm. 2. From B draw a line AB=5 cm which makes right angle at B.  3. Join AC, `DeltaABC` is the givenright triangle. 4. From B draw an acute `angleCBY` downwards. 5. On ray BY, mark three POINTS `B_(1),B_(2) " and " B_(3)`, such that `BB_(1)=B_(1)B_(2)=B_(2)B_(3)`. 6. Join `B_(3)C`. 7. From point `B_(2)` draw `B_(2)N||B_(3)C` intersect BC at N. 8. From point N draw `NM||CA` intersect BA at M. `DeltaMBN` is the required triangle. `DeltaMBN` is ALSO a right angled triangle at B. |
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