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 of lengths 8 cm and 6 cm respectively. Find the sides AB and AC.

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow the properties of tangents and the relationship between the sides of the triangle and the segments created by the points of contact with the incircle. ### Step 1: Understand the given information We have triangle ABC with a circle inscribed in it (incircle). The radius of the incircle (r) is given as 4 cm. The segments BD and DC, into which BC is divided by the point of contact D, are given as: - BD = 8 cm - DC = 6 cm ### Step 2: Calculate the length of BC ...
Promotional Banner

Similar Questions

Explore conceptually related problems

In the given figure, a triangle PQR is drawn to circumscribe a circle of radius sqrt(3 ) cm such that segments RS and QS into which QR is divided by the point of contact S are of lengths 5 cm and 3 cm respectively. If the area of DeltaPQR is 10sqrt(3 ) cm^2 , then find the sides PQ and PR.

In Figure, triangle A B C is drawn to circumscribe a circle of radius 4cm such that the segments B Da n dD C are of lengths 8cm and 6cm respectively. Find the lengths of sides A Ba n dA C , when area of A B C is 84 c m^2dot

In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BD and DC are of lengths 6 cm and 9 cm respectively. If the area of triangleABC = 54 cm^(2) , then find the lengths of sides AB and AC. ltBRgt

The radius of the incircle of a triangle is 4 cm and the segments into which one side is divided by the point of contact are 6 cm and 8 cm. Determine the other two sides of the triangle.

In figure,a right triangle ABC,circumscribes a circle of radius r.If AB and BC are of length 8 cm and 6 cm respectively, find the value of r.

In figure,a right triangle ABC,circumscribes a circle of radius r.If AB and BC are of length 8 cm and 6 cm respectively, find the value of r.

In figure,a right triangle ABC,circumscribes a circle of radius r.If AB and BC are of length 8 cm and 6 cm respectively, find the value of r.

A circle of radius 4 cm is inscribed in DeltaABC , which touches side BC at D. If BD = 6 cm, DC = 8 cm then

A B is a chord of a circle with centre O and radius 4 cm. A B is of length 4 cm and divides the circle into two segments. Find the area of the minor segment.

In the given figure, triangle ABC is circumscribing a circle. Find the length of BC, if AF=3 cm, FB=4 cm and AC= 9 cm