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17.50 m
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ABC is a right angled triangle with ABC = 90^@ . D is any point on AB and DE is perpendicular to AC. Prove that: If AC = 13 cm, BC = 5 cm and AE = 4 cm. Find DE and AD.

ABC is a right angled triangle with angleABC=90^(@) , D is any point on AB and DE is perpendicular to AC. (ii) If AC = 13 cm, BC = 5 cm and AE = 4 cm. Find DE and AD.

Construct a right-angled triangle ABC, right-angled at A, with hypotenuse BC = 7.5 cm and one of the sides AB = 5.5 cm. Also, from the point A, drop a perpendicular on BC, intersecting BC at D. Find AB : AD.

Find : (ii) AD

Find : (i) BC (ii) AD (iii) AC

In the given figure, AB||CD||EF and AD||BE . Find x,y and z

In the given figure, BC = 8 cm and AD = 4 cm. AD || BC , find the area of DeltaEBC

In the adjoining figure, ABC is a triangle right-angled at vertex A and AD is altitude. If BD = 3.6 cm and CD = 6.4 cm, find the length of AD.

In the given figure , DE //BC and AD : AB= 2 : 5 Find : ( " area of " Delta ADE) /( " area of " Delta ABC) ( ii) (" area of " Delta ABC)/( " area of trapezium DBCE" )

In Figure (i) and (ii), DE||BC. Find EC in (i) and AD in (ii).

ICSE-HEIGHTS AND DISTANCES -Exercise 22 C
  1. Find AD

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  2. Find AD

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  3. In the following diagram, AB is a floor-board, PQRS is a cubical box w...

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  4. Calculate BC

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  5. Calculate AB

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  6. The radius of a circle is given as 15 cm and chord AB subtends an angl...

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  7. The radius of a circle is given as 15 cm and chord AB subtends an angl...

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  8. At a point on level ground, the angle of elevation of a vertical to...

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  9. A vertical tower stands on a horizontal plane and is surmounted by a v...

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  10. With reference to the given figure, a man stands on the ground at poin...

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  11. With reference to the given figure, a man stands on the ground at poin...

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  12. The angles of elevation of the top of a tower from two points at a dis...

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  13. From a window A , 10 m above the ground the angle of elevation of the...

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  14. A vertical tower is 20 m high. A man standing at some distance from th...

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  15. A man standing on the bank of a river observes that the angle of elev...

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  16. A man standing on the bank of a river observes that the angle of elev...

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  17. A 20 m high vertical pole and a vertical tower are on the same level g...

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  18. A 20 m high vertical pole and a vertical tower are on the same level g...

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  19. A vertical pole and a vertical tower are on the same level ground in ...

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  20. A vertical pole and a vertical tower are on the same level ground in ...

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