Home
Class 9
MATHS
In triangle ABC, AD is perpendicular to...

In triangle ABC, AD is perpendicular to BC. sin B = 0.8, BD = 9 cm and tan C = 1. Find the length of AB, AD, AC and DC.

Text Solution

Verified by Experts

The correct Answer is:
Taking BD = 9 cm , we get : AB = 15 cm, AD = 12 cm , AC = `12sqrt2 cm and DC = 12 cm`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(A)|47 Videos

  • TRIANGLES

    ICSE|Exercise 4 MARKS QUESTIONS |24 Videos

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(C)|118 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC, AD is perpendicular to side BC and AD^2 = BD xx DC . Show that angle BAC = 90^@ .

In triangles ABC , AD is perpendicular to BC and AD^(2) = BD xx DC . Prove that angle BAC = 90 ^(@)

In Triangle ABC, AD is perpendicular to BC, tan B "" = (3)/(4) tan C = "" ( 5)/(12) and BC = 56 cm . Calculate the lengths of AD.

In a Delta ABC , the median AD is perpendicular to AC. If b = 5 and c = 11, then a =

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.

Delta ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

In the figure, AD is perpendicular to BC, prove that AB+AC gt 2AD .

In Detla ABC, AD is perpendicular to BC. If AD = 12 cm, area of Delta ADB= 90 sq. cm. and area of Detla ADB: area Deleta ADC=2:3, find BD and DC.

In Figure -6 , in an equilateral triangle ABC, AD is perpendicular to BC , BE is perpendicular to AC and CF is perpendicular to AB . Prove that 4 (AD^2 +BE^2 +CF^2)=9AB^2

In the given figure, AB and DE are perpendiculars to BC. If AB = 9 cm, DE = 3 cm and AC = 24 cm, calculate AD.

ICSE-TRIGONOMETRICAL RATIOS -EXERCISE 22(B)
  1. If 3 cos A = 4 sin A, find the value of : cos A

    Text Solution

    |

  2. If 3 cos A = 4 sin A, find the value of : 3 - cot^2A+ "cosec"^2A

    Text Solution

    |

  3. In triangle ABC, angleB = 90^@ and tan A = 0.75 If AC = 30 cm, find t...

    Text Solution

    |

  4. In rhombus ABCD, diagonals AC and BD intersect each other at point O. ...

    Text Solution

    |

  5. In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find : cos B

    Text Solution

    |

  6. In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find : sin C

    Text Solution

    |

  7. In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find : tan^2B - sec...

    Text Solution

    |

  8. In triangle ABC, AD is perpendicular to BC. sin B = 0.8, BD = 9 cm an...

    Text Solution

    |

  9. Given : q tan A = p, find the value of : (p sin A -q cos A)/(p sin A...

    Text Solution

    |

  10. If sin A = cos A, find the value of 2tan^2 A - 2 sec^(2)A + 5.

    Text Solution

    |

  11. In rectangle ABCD, diagonal BD = 26 cm and cotangent of angle ABD = 1....

    Text Solution

    |

  12. If 2 sin x = sqrt3 , evaluate . 4 sin^3 x- 3 sinx.

    Text Solution

    |

  13. If 2 sin x = sqrt3 , evaluate . 3 cos x - 4 cos^3x.

    Text Solution

    |

  14. If sin A=sqrt3/2 and cos B = sqrt3/2 , find the value of : (tanA-tanB)...

    Text Solution

    |

  15. Use the informations given in the following figure to evaluate : (10)/...

    Text Solution

    |

  16. If sec A=sqrt2, find : (3 cot^2A+2sin^2A)/(tan^2A-cos^2A)

    Text Solution

    |

  17. If 5 cos theta = 3 , evaluate : ("cosec" theta-cottheta)/("cosec" thet...

    Text Solution

    |

  18. If cosec A + sin A = 5(1)/5 , find the value of "cosec"^2 A+ sin^2A.

    Text Solution

    |

  19. If 5 cos theta = 6 , sin theta , evalutate : tan theta

    Text Solution

    |

  20. If 5 cos theta = 6 , sin theta , evalutate : (12 sin theta - 3cos th...

    Text Solution

    |