Home
Class 10
MATHS
In an isosceles triangle A B C , if A...

In an isosceles triangle `A B C` , if `A B=A C=13` cm and the altitude from `A` on `B C` is 5 cm, find `B C` .

Text Solution

Verified by Experts

The correct Answer is:
24 m
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RS AGGARWAL|Exercise Exercise 7E|30 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|53 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise Exercise 7C|13 Videos

  • T-RATIOS OF SOME PARTICULAR ANGLES

    RS AGGARWAL|Exercise Exercise 11|27 Videos

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

Similar Questions

Explore conceptually related problems

In an isosceles triangle ABC, if AB=AC=13cm and the altitude from A on BC is 5cm, find BC.

In an isosceles triangle A B C , if A B=A C=25 c m and B C=14 c m , then the measure of altitude from A on B C is (a) 20cm (b) 22cm (c) 18cm (d) 24cm

Find the perimeter of each of the following shapes: An equilateral triangle of side 9cm. An isosceles triangle with equal side 8cm each and third side 6cm. An isosceles triangle A B C , with A B=A C=10 c m and altitude from A on B C equal to 8cm. A regular hexagon with each side measuring 8cm.

ABC is an isosceles triangle inscribed in a circle of radius rdot If A B=A C and h is the altitude from A to B C , then triangle A B C has perimeter P=2(sqrt(2h r-h^2)+sqrt(2h r)) and area A= ____________ and = __________ and also ("lim")_(xvec0)A/(P^3)=______

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

Find B and C of a triangle ABC, if b = 2 cm, c = 1 cm and A=60^(@) .

Fill in the blanks in the following so that each of the following statements is true Sides opposite to equal angles of a triangle are ....... Angle opposite to equal sides of a triangle are ....... In an opposite to equal sides of a triangle are ....... In a A B C if /_A=/_C , then A B= ..... If altitudes C E a n d B F of a triangle A B C are equal, then A B= ........ In an isosceles triangle A B C with A B=A C , if B D a n d C E are its altitudes, then B D is .......... C E In right triangles A B C a n d D E F , if hypotenuse A B=E F and side A C=D E , then A B C ~= ....

In an acute angled triangle ABC, if tan(A+B-C)=1 and ,sec(B+C-A)=2, find the value of A,B and C.

In triangle ABC, if (c+a+b)(a+b-c)=ab, Find the value of /_C.

RS AGGARWAL-TRIANGLES-Exercise 7D
  1. A man goes 10 m due south and then 24 n due west. How far is from the ...

    Text Solution

    |

  2. A 13-m long ladder reaches a window of building 12 m above the ground....

    Text Solution

    |

  3. A ladder is placd in such a way that its foot is a distance of 15 m fr...

    Text Solution

    |

  4. Two poles of height 9m and 14m stand on a plane ground. If the distanc...

    Text Solution

    |

  5. A guy wire attached to a vertical pole of height 18m is 24m long an...

    Text Solution

    |

  6. In the given figure, O is point inside a Delta PQR such that angle POR...

    Text Solution

    |

  7. In an isosceles triangle A B C , if A B=A C=13 cm and the altitu...

    Text Solution

    |

  8. Find the length of altitude AD of an isosceles Delta ABC in which AB=...

    Text Solution

    |

  9. Delta ABC is an equilateral triangle of side 2a units. Find each of i...

    Text Solution

    |

  10. Find the height of an equilateral triangle of side 12 cm

    Text Solution

    |

  11. Find the length of a diagonal of reactangle whose adjacent sides are 3...

    Text Solution

    |

  12. Find the length of each side of a rhombus whose diagonals are 24 cm an...

    Text Solution

    |

  13. In Delta ABC , D is the midpoint of BC and AE bot BC. If AC gtAB, show...

    Text Solution

    |

  14. In the given figure angleABC=90^(@) and CD bot AB. Prove that (BC^(2)...

    Text Solution

    |

  15. In the given figure, D is the midpoint of side BC and AE bot BC. If BC...

    Text Solution

    |

  16. In Delta ABC, AB= AC. Side BC is produced to D. Prove that (AD^(2)-AC^...

    Text Solution

    |

  17. ABC is an isosceles triangle, right-angled at B. Similar trianles ACD ...

    Text Solution

    |

  18. An aeroplane leaves an airport and flies due north at a speed of 1000...

    Text Solution

    |

  19. In a Delta ABC, AD is a median and AL bot BC. Prove that (a) AC^(2...

    Text Solution

    |

  20. Nazinia is fly fishing in a stream. The tip of her fishing rod is 1...

    Text Solution

    |