Home
Class 10
MATHS
In the right-angled triangles DeltaPQR a...

In the right-angled triangles `DeltaPQR` and `DeltaDEF`, `/_Q=/_E=` right angle. If `PQ=(sqrt(2)+1)cm`. `QR=(sqrt(2)-1)cm`, `DE=(2sqrt(2)+1)cm` and `EF=(2sqrt(2)-1)cm`, then `DeltaPQR` and `DeltaDEF` are

A

congruent

B

similar

C

of equal areas

D

not similar

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.1|32 Videos
  • SAMPLE QUESTIONS PAPERS

    CALCUTTA BOOK HOUSE|Exercise QUESTION|157 Videos
  • SIMPLE INTEREST

    CALCUTTA BOOK HOUSE|Exercise Long-answer type questions|37 Videos

Similar Questions

Explore conceptually related problems

In the right-angled triangle ABC, /_A = right angle. If AB =( 3x -sqrt(2))cm, BC = sqrt( 9x^(2) + 2) cm, then find the value of AC.

Solve sqrt(2 cos^(2)x+1)+ sqrt(2 sin^(2)x+1)=2 sqrt(2)

Factorise : (sqrt(2)-1)x^(2)+2sqrt(2)x+(sqrt(2)+1)

cos2theta = (sqrt(2)+1)(costheta -1/sqrt(2))

In triangle ABC, AB = (2a-1)cm, AC = 2sqrt(2a) cm, BC = (2a+1)cm, find angle BAC .

Find the angles of the triangle whose sides are (sqrt(3)+1)/(2sqrt(2)), (sqrt(3)-1)/(2sqrt(2)) and sqrt(3)/2 .

In right angle triangle Delta PQR ,right angle at Q,PQ = 6cm and angle RPQ =60^(@) Determine the lengths of QR and PR.

In Delta PQR ,right angle is at Q,PQ =3cm and PR =6cm Determine angle QPR and angle PRQ

Let p=1+1/(sqrt(2))+1/(sqrt(3))+...+1/(sqrt(120)) and q=1/(sqrt(2))+1/(sqrt(3))+...+1/(sqrt(121)) then

Construct a right angled trianglePQR such that anglePQR =90^@ , PQ = 6cm. And QR =4cm.

CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.2
  1. In DeltaABC and DeltaDEF if /B=/E and /C=/F, then which of the followi...

    Text Solution

    |

  2. In DeltaPQR and DeltaDEF,/Q=/E=42^(@), (PQ)/(DE)=(QR)/(EF) and if /F=6...

    Text Solution

    |

  3. In the right-angled triangles DeltaPQR and DeltaDEF, /Q=/E= right angl...

    Text Solution

    |

  4. DeltaABC and DeltaBDE are two equilateral triangles. If D is the mid-p...

    Text Solution

    |

  5. If the ratio of the sides of two similar triangles be 4:9, then ratio ...

    Text Solution

    |

  6. DeltaPQR~DeltaDEF and their areas are 49 sq-cm and 121 sq-cm respectiv...

    Text Solution

    |

  7. Write the following sentences true or false: Any two identical image a...

    Text Solution

    |

  8. C and B are two points on the straight line XY, P is an external point...

    Text Solution

    |

  9. In DeltaPQR, a straight line parallel to QR intersects PQ and PR at th...

    Text Solution

    |

  10. Fill the blank :All (equilateral/isosceles) triangle are always ident...

    Text Solution

    |

  11. state true or false; Two equiangular triangles are always congruent.

    Text Solution

    |

  12. state true or false; If the two sides of two triangles are in proport...

    Text Solution

    |

  13. If the areas of two similar triangles be equal, they are .

    Text Solution

    |

  14. The ratio of the areas of two similar triangels is equal to the of the...

    Text Solution

    |

  15. Prove that the perimeters of two similar triangles are proportional to...

    Text Solution

    |

  16. AD is a perpendiuclar drawn from the vertex A of the right-angled tria...

    Text Solution

    |

  17. Fill the blank :All circles are(uniform/identical)

    Text Solution

    |

  18. Fill the blank :All square are(uniform/identical)

    Text Solution

    |

  19. Write the following sentences true or false: Any two identical figure ...

    Text Solution

    |

  20. The diagonals of the quadrilateral ABCD intersect each other at O in s...

    Text Solution

    |