Home
Class 12
MATHS
Find the Side of pedal triangle and Circ...

Find the Side of pedal triangle and Circum-Radius of pedal Triangle ?

Text Solution

Verified by Experts

The correct Answer is:
`a cos A, b cos B and c cos C or R sin 2A, R sin 2B and R sin 2C`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|1 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Sesssion 1|20 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If the sides of the triangle are the roots of the equation x^(3)-2x^(2)-x-16 =0, then the product of the in-radius and circum-radius of the triangle ,is

The perimeter of an isosceles triangle is 42 c m and its base is (3/2) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.

The perimeter of an isosceles triangle is 42 c m and its base is (3/2) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.

If R_(1) is the circumradius of the pedal triangle of a given triangle ABC, and R_(2) is the circumradius of the pedal triangle of the pedal triangle formed, and so on R_(3), R_(4) ..., then the value of sum_( i=1)^(oo) R_(i) , where R (circumradius) of DeltaABC is 5 is

Find the altitude of an equilateral triangle of side 8 cm.

If the sides of a triangle are 3, 5, and 6, prove that the triangle is obtuse - angled triangle and find the obtuse angle.

If the two sides of a triangle of a triangle and the included angle are given by a= sqrt(3)+1, b = 2 and C = 60^(@) , find the other two angles and the third side.

Consider a triangle ABC, and that AA', BB', CC' be the perpendicular form A, B and C upon the sides opposite to them. These three perpendicualrs meets in H, called the orthocenter of the triangle.The triangle A'B'C' formed by the feet of the perpendicular is called the pedal triangle of ABC. (Assume angleA, B, C ne 90^(@) ) Suppose a triangle ABC has its sides 13, 14 and 15 cm. Then the circumradius of the pedal triangles is (in cm)

The angle of elevation of the top of the tower observed from each of three points A,B , C on the ground, forming a triangle is the same angle alpha. If R is the circum-radius of the triangle ABC, then find the height of the tower

Let Delta be the area of a triangle. Find the area of a triangle whose each side is twice the side of the given triangle.

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the Side of pedal triangle and Circum-Radius of pedal Triangle ?

    Text Solution

    |

  2. In a triangle XYZ, let x, y, z be the lengths of sides opposite to the...

    Text Solution

    |

  3. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  4. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  8. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  9. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  11. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

  16. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  17. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  18. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  20. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |