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Using ruler and compasses only, construct a `\ A B C` from the following data: `A B+B C+C A=12 c m ,\ /_B=45^0a n d\ /_C=60^0`

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To construct triangle ABC given that \( AB + BC + CA = 12 \) cm, \( \angle B = 45^\circ \), and \( \angle C = 60^\circ \), follow these steps: ### Step-by-Step Construction: 1. **Draw a Line Segment:** - Draw a line segment \( PQ \) of length 12 cm. This will represent the perimeter of triangle ABC. - **Hint:** Use a ruler to measure exactly 12 cm. ...
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In a A B C , D a n d E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=12 c m , A D=8 c m , A E=12 c m a n d A C=18 c m . (ii) A B=5. 6 c m , A D=1. 4 c m , A C=7. 2 c m a n d A E=1. 8 cm

In Fig. 4.60, check whether A D is the bisector of /_A of A B C in each of the following: (FIGURE) A B=5c m , A C=10 c m , B D=1. 5 c m and C D=3. 5 c m (ii) A B=4c m , A C=6c m , B D=1. 6 c m and C D=2. 4 c m (iii) A B=8c m , A C=24 c m , B D=6c m and B C=24 c m

If A B C and DEF are two triangles such that A B C ~= F D E a n d A B=5c m , /_B=40^0 a n d /_A=80^0dot Then, which of the following is true? D F=5c m , /_F=60^0 (b) D E=5c m , /_E=60^0 D F=5 c m , /_E=60^0 (d) D E=5c m , /_D=40^0

In Fig. 4.60, check whether A D is the bisector of /_A of A B C in each of the following: (FIGURE) A B=6c m , A C=8c m , B D=1. 5 c m and C D=2c m (ii) A B=5c m , A C=12 c m , B D=2. 5 c m and B C=9c m

In which of the following cases can a right triangle A B C be constructed? A B=5\ c m ,\ B C=7\ c m ,\ A C=10\ c m A B=7\ c m ,\ B C=8\ c m ,\ A C=12\ c m A B=8\ c m ,\ B C=17\ c m ,\ A C=15\ c m None of these

In a parallelogram A B C D , the diagonals bisect each other at Odot If /_A B C=30^0,\ /_B D C=10^0a n d\ /_C A B=70^0, Find: /_D A B ,\ /_A D C ,\ /_B C D ,\ /_A O D ,\ /_D O C ,\ /_B O C ,\ /_A O B ,\ /_A C D ,\ /_C A B ,\ /_A D B

In a rhombus A B C D , if /_A C B=40^0, then /_A D B= (a) 70^0 (b) 45^0 (c) 50^0 (d) 60^0

A B C is an isosceles triangle such that A B=A C a n d A D is the median to base B C . Then, /_B A D= 55^0 (b) 70^0 (c) 35^0 (d) 110^0

Line segments A B a n d C D intersect at O such that A C D Bdot If /_C A B=45^0a n d /_C D B=55^0, then /_B O D= 100^0 (b) 80^0 (c) 90^0 (d) 135^0

Draw a triangle A B C with A B=6\ c m ,\ B C=7\ c m and C A=8\ c mdot Using ruler and compass alone, draw (i) the bisector A D\ of \ /_A and (ii) perpendicular A L from A on B Cdot Measure L A Ddot

RD SHARMA-CONSTRUCTION -All Questions
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  2. Using a protractor, draw an angle of measure 128^@ . With this ang...

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  3. Draw an angle and label it as /B A Cdot Construct another angle,...

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  4. Draw an obtuse angle. Bisect it. Measure each of the angles so obta...

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  5. Using your protractor, draw an angle of measure 108^@dot With this ...

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  6. Using protractor, draw a right angle. Bisect it to get an angle of ...

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  7. Using ruler and compasses only, draw a right angle.

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  8. Using ruler and compasses only, draw an angle of measure 135^0

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  9. Using a protractor, draw an angle of measure 72^0dot With this a...

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  10. Construct the following angles at the initial point of a given ray ...

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  11. Construct the angles of the following measurements: 135^0 (ii) 15^...

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  12. Construct a triangle A B C in which A B=5. 8 c m ,\ B C+C A=8. 4\ c...

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  13. Construct a triangle A B C , in which B C=3. 8\ c m ,\ /B=45^0\ a n...

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  14. Construct a triangle A B C in which base A B=5c m ,\ /A=30^0\ a ...

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  15. Construct a triangle A B C in which B C=5. 7\ c m ,\ /B=45^0,\ A B-...

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  16. Construct a A B C in which B C=5. 6\ c m ,\ A C-A B=1. 6\ c m\ a n...

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  17. Construct a A B C in which A B+A C=5. 6\ c m ,\ B C=4. 5\ c m\ a n ...

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  18. Using ruler and compasses only, construct a \ A B C from the fol...

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  19. Construct a triangle A B C such that B C=6c m ,\ A B=6\ c m\ and m...

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  20. Construct a right triangle A B C whose base B C is 6\ c m and the s...

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