Home
Class 10
MATHS
The perimeters of two similar triangl...

The perimeters of two similar triangles `A B C` and `P Q R` are respectively 36cm and 24cm. If `P Q=10 c m` , find `A B` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

The areas of two similar triangles A B C and P Q R are in the ratio 9: 16 . If B C=4. 5 c m , find the length of Q R .

If the areas of two similar triangles A B C and P Q R are in the ratio 9: 16 and B C=4. 5 c m , what is the length of Q R ?

The areas of two similar triangles are 25\ c m^2 and 36\ c m^2 respectively. If the altitude of the first triangle is 2.4cm, find the corresponding altitude of the other.

In two similar triangles A B C and P Q R , if their corresponding altitudes A D and P S are in the ratio 4:9, find the ratio of the areas of triangle A B C and triangle P Q R .

In Fig. 10.97, the sides A B ,\ B C and C A of triangle A B C , touch a circle at P ,\ Q and R respectively. If P A=4c m , B P=3c m and A C=11 c m , then length of B C is (FIGURE) (a) 11cm (b) 10cm (c) 14cm (d) 15cm

In A B C , P and Q are points on sides A B and A C respectively such that P Q ||B C . If A P=3c m , P B=5c m and A C=8c m , find A Q .

In /_\ P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N || Q R .

In a triangle, P ,\ Q\ a n d\ R are the mid-points of sides B C ,\ C A\ a n d\ A B respectively. If A C=21\ c m ,\ B C=29 c m\ a n d\ A B=30 c m , find the perimeter of the quadrilateral A R P Q

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q// B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 ...

    Text Solution

    |

  2. In Figure, /C A B=90 and A D|B C . If A C=75 c m , A B=1m and B D=1. 2...

    Text Solution

    |

  3. The perimeters of two similar triangles A B C and P Q R are resp...

    Text Solution

    |

  4. In Figure if /A D E=/B show that A D E ~ A B C . If A D=3. 8 c m ,...

    Text Solution

    |

  5. In Figure, (A O)/(O C)=(B O)/(O D)=1/2 and A B=5 cm . Find the value...

    Text Solution

    |

  6. In Fig. 4.97, if /A=/C , then prove that A O B ~ C O D . (FIGU...

    Text Solution

    |

  7. In Fig. if A B|B C and D E|A C . Prove that A B C ~ A E D

    Text Solution

    |

  8. In Fig. 4.99, if /P=/R T S , prove that R P Q ~ R T S . (FIGUR...

    Text Solution

    |

  9. In Fig. , if (Q T)/(P R)=(Q R)/(Q S) and /1=/2 . Prove that P Q S...

    Text Solution

    |

  10. In Fig. 4.101, A D and C E are two altitudes of A B C . Prove t...

    Text Solution

    |

  11. In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B...

    Text Solution

    |

  12. In Figure, C D and G H are respectively the medians of A B C and E...

    Text Solution

    |

  13. In Figure, if B D|A C and C E|A B , prove that (i) /\A E C ~ /\A ...

    Text Solution

    |

  14. D is a point on the side B C of A B C such that /A D C=/B A C . Pr...

    Text Solution

    |

  15. In Fig. 4.106, considering triangles B E P and C P D , prove tha...

    Text Solution

    |

  16. P and Q are points on sides A B and A C respectively of A B C ....

    Text Solution

    |

  17. In Figure, express x in terms of a ,\ b and c.

    Text Solution

    |

  18. In Figure, /B A C=90dot and segment A D|B C . Prove that A D^2=B D...

    Text Solution

    |

  19. In /\ A B C , if A D|B C and A D^2=B DxxD C , prove that /B A C=90do...

    Text Solution

    |

  20. In a A B C ,\ \ B D and C E are the altitudes. Prove that A D B an...

    Text Solution

    |