Home
Class 14
MATHS
ABC is a triangle right-angled at C. If ...

ABC is a triangle right-angled at C. If p is the length of the perpendicular from C to AB and a, b, c are the sides, then which one of the following is correct ?

A

`(a^(2)+b^(2))p^(2)=a^(2)b^(2)`

B

`a^(2)+b^(2)=a^(2)b^(2)p^(2)`

C

`p^(2)=a^(2)+b^(2)`

D

`p^(2)=a^(2)-b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

Similar Questions

Explore conceptually related problems

ABC is a triangle right angled at C with BC = a and AC = b. If p is the length of the perpendicular from C on AB, then which one of the following is correct ?

ABC is right triangle right angled at B.If BD is the length of the perpendicular drawn from B to AC then

DeltaABC , is right angles at C. If p is thhe length of the perpendicular from C to AB and a,b,c are the lengths of the sides opposites angle A,angle B,angle C respectively then prove that 1/(p^(2))=1/(a^(2))+1/(b^(2))

In a triangle ABC if the angles A, B, C are in AP, then which one of the following is correct ?

ABC is a triangle right angled at C. Let p be the length of the perpendicular drawn from C on AB. If BC = 6 cm and CA = 8 cm, then what is the value of p ?

ABC is a right traingle, right angled at C. if P is the length of perpendicular from C to AB and AB=c, BC=a and CA=b, then prove that (i) pc=ab (ii) 1/(p^(2)) = 1/(a^(2))+1/b^(2)

In triangle ABC, angleC = 90^(@) and CD is the perpendicular from C to AB. If (CD)^(-2) = (BC)^(-2) + (CA)^(-2) , then which one of the following is correct ?

In a triangle ABC, a, b and c are the lengths of the sides and p, q and r are the lengths of its medians. Which one of the following is correct ?

In DeltaABC , C is right angle and a perpendicular 'p' is drawn on side AB. If a, b, c are length of sides BC, CA, AB respectively then which of the following is correct?

LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A
  1. Consider the following statements : A unique triangle can be formed ...

    Text Solution

    |

  2. The length of hypotenuse of a right angled triangle is 3sqrt(10). If a...

    Text Solution

    |

  3. ABC is a triangle right-angled at C. If p is the length of the perpend...

    Text Solution

    |

  4. If ABC is a right angled triangle at B and M, N are the mid-points of ...

    Text Solution

    |

  5. Area of a right angled triangle is A. If its one of the perpendicular ...

    Text Solution

    |

  6. In triangle ABC, A=90^(@) and AB = 3 unit, AC = 4 unit and side AD is ...

    Text Solution

    |

  7. Let WXYZ be a square. Let P, Q, R, be the midpoints of WX, XY and ZW r...

    Text Solution

    |

  8. If two corresponding sides of two similar triangles are in the ratio 9...

    Text Solution

    |

  9. In a trianlge, if sum of two angles is equal to the third angle (consi...

    Text Solution

    |

  10. In the adjacent figure, L is a point on the internal bisector of acute...

    Text Solution

    |

  11. In the figure given above, ABCD is a parallelogram. P is a point on BC...

    Text Solution

    |

  12. ABC is an isosceles triangle such that AB=BC=8cm and angle ABC=90^@ Wh...

    Text Solution

    |

  13. Let D, E be the points on sides AB and AC respectively of a triangle A...

    Text Solution

    |

  14. In DeltaABC line PQ is drawn parallel to side BC where P and Q are res...

    Text Solution

    |

  15. ABC is a triangle right-angled at B and D is a point on BC produced (B...

    Text Solution

    |

  16. PQR is a triangle right-angled at Q. If X and Y are the mid-points of ...

    Text Solution

    |

  17. In the figure given below, what is the value of x. It is given that ...

    Text Solution

    |

  18. If sides of a triangle are 20 cm, 16 cm and 13 cm, then which one of t...

    Text Solution

    |

  19. DeltaABC and DeltaDEF are similar such that (AB)/(DE)=(BC)/(EF). Area ...

    Text Solution

    |

  20. In DeltaABC, angleA=90^(@). From point A, perpendicular AD is drawn to...

    Text Solution

    |