Home
Class 10
MATHS
A triangle ABC is drawn to circumscribe ...

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are lengths 6 cm and 8 cm respectively. Find the sides AB and AC.

Text Solution

Verified by Experts

The correct Answer is:
13 cm
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 4.1)|6 Videos
  • ARITHMETIC PROGRESSIONS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER EXERCISE 1.4|5 Videos
  • CO-ORDINATE GEOMETRY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 7.4)|7 Videos

Similar Questions

Explore conceptually related problems

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively as shown in the figure . Find the sides AB and AC .

In the figure, a triangle ABC is drawn to circumscribe a circle of radius 2 cm such that the segments BD and DC into which BC is divided by the point of contact are the lengths 4 cm and 3 cm respectively. If the area of DeltaABC=21 cm^(2) , find the length of sides AB and AC.

Knowledge Check

  • A square circumscribes a circle of radius 6cm the length of the diagonal of square is

    A
    `12 cm`
    B
    `2 sqrt2 cm`
    C
    ` 5 sqrt2 cm`
    D
    `3 sqrt2 cm`
  • A tangent is drawn to a circle of radius 8 cm from a point which is at a distance of 10 cm from the centre of the circle.Then the length of the tangent is:

    A
    8 cm
    B
    18 cm
    C
    2cm
    D
    6cm
  • Similar Questions

    Explore conceptually related problems

    A chord 10cm long is drawn in a circle whose radius is 5sqrt2 cm . Find the area of both the segments.

    In the fig.ABC is a quadrant of a circle of radius 14cm and a semicircle is drawn with BC as a diameter. Find the area of the shaded region.

    In the given figure, a circle is inscribed in a DeltaABC such that it touches the sides AB, BC, and CA at points D, E, and F respectively. If the lengths of the sides AB, BC, and CA are 12 cm, 8 cm, and 10 cm respectively, find the lengths of AD, BE, and CF.

    Delta ABC~Delta DEF and their areas are 64 cm^2 and 100 cm^2 respectively. If EF=12 cm then find the measure of BC.

    In the figure, an isosceles triangle ABC with AB=AC circumscribes a circle. Prove that the point of contact P bisects the base BC.

    In right angle triangle ABC, 8cm ,15 cm and 17 cm are the length of AB,BC and CA respectively , Then find sin A , cos A and tan A .