Home
Class 8
MATHS
The ratio of the angles A, C and B of tr...

The ratio of the angles A, C and B of triangle ABC is `1:1:2`. If the equal sides meausre 10 cm each, what is the length of the longest side ?

Text Solution

Verified by Experts

Since the angles are in the ratio `1:1:2`, the angles are `45^(@),45^(@)` and `90^(@)`.
ABC is an isosceles right triangle. Longest side `=` side opposite to `/_ B=AC`.
Let `AB=BC=10`cm
`AC=sqrt(10^(2)+10^(2))=10sqrt(2)cm`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise very short answer type question|25 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Short Answer Type Questions 31|9 Videos

  • Formulae

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos

Similar Questions

Explore conceptually related problems

The ratio of the sides of a triangle ABC is 1:sqrt(3):2. The ratio A:B:C is

A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1:2 and the volume of the prism is 100 cm^(3) , what is the length of the longest side of the triangle ?

The ratio of three sides of a triangle 5:5:8. If the area of triangle is 12cm^(2) , then what is the length (in cm.) of the equal sides ?

If angle A of triangle ABC is 30^(@) and the circum-radius of the triangle is 10 cm, then what is the length of side BC ?

The sides of a triangle are in the ratio 5:2:1 . If the perimeter of the triangle is 88 cm, then what will be the length of the largest side?

The sides of a triangle are in the ratio 4:3:2 . If the perimeter of the triangle is 63 cm, then what will be the length of the largest side?

If the angles A,B and C of a triangle ABC are in an A.P with a positive common difference such that the smallest angle is one third of the largest angle, and the sides a, b and c are the sides opposite to the angles A ,B and C such that (a)/(sin A)=(b)/(sin B)=(c)/(sin C) then the ratio of the longest side to that of the shortest side will be

The sides of a triangle are in the ratio 1: 2:3. If its perimeter is 72 cm, the length of its largest side is

If the angles of a triangle ABC are in the ratio 1:2:3. then the corresponding sides are in the ratio ?

PEARSON IIT JEE FOUNDATION-GEOMETRY -CONCEPT APPLICATION (Level 1)
  1. The ratio of the angles A, C and B of triangle ABC is 1:1:2. If the eq...

    Text Solution

    |

  2. In the figure below (not to scale) , bar(PQ)||bar(TS), reflex / QRS=30...

    Text Solution

    |

  3. In a triangle ABC, if / A gt / B gt /C and the measures of /A , /B ...

    Text Solution

    |

  4. In the above figure, / ABD =20^(@), / BDC =110^(@) and / DCA =30^(@) ....

    Text Solution

    |

  5. In the figure below (not to scale), bar(MR )| bar(MP), bar(MQ) | bar(...

    Text Solution

    |

  6. In the figure above (not to scale ) , overline(EF)||overline(GD),overl...

    Text Solution

    |

  7. In the figure below, bar(BC)|| bar(EF),BC=EF and DF =AC. Which of the...

    Text Solution

    |

  8. In the above figure (not to scale), E and F are the mid points of AB a...

    Text Solution

    |

  9. What is the number of lines of symmetry for a parallelogram ?

    Text Solution

    |

  10. Given below are some figures. Choose the image of the given figure to ...

    Text Solution

    |

  11. In the given figure , PQ and RS are chords of length 10 cm each inters...

    Text Solution

    |

  12. In the above figure (not to scale), O is the centre of the circle. bar...

    Text Solution

    |

  13. In the above figure (not to scale), O is the centre of the circle. bar...

    Text Solution

    |

  14. In the above figure , overline(AB)andoverline(AC) are equal chords an...

    Text Solution

    |

  15. In the above figure, O is the centre of the circle and AB=CD. If / APB...

    Text Solution

    |

  16. In the above diagram (not to scale), AB=AC=. O is the centre of the ci...

    Text Solution

    |

  17. In the figure above (not to scale), AB=CD and /A =100^(@). / C =

    Text Solution

    |

  18. In the above figure, ABCD is a cyclic quadrilateral and /BCD =2 / BAD....

    Text Solution

    |

  19. In the below figure , one part of the line of symmetry is given . Re...

    Text Solution

    |

  20. In the above figure , AB and CD are equal chords and O is the centre o...

    Text Solution

    |

  21. In the given figure , angleDBA=2angleDAB=4angleCAD. If angleADC=120^(@...

    Text Solution

    |