In the given figure, a triangle PQR is d...

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.

Topper's Solved these Questions

STATISTICS
RD SHARMA ENGLISH|Exercise All Questions|250 Videos
TRIANGLES
RD SHARMA ENGLISH|Exercise All Questions|366 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. Find the sides AB and AC.

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

Find the area of a triangle whose sides are 3cm, 4cm and 5cm respectively.

In the given figure triangleABC is circumscribing a circle. Find the length of BC. Given AR=4cm, RB=3cm and AC=11cm.

The lengths of the three sides of a Delta are 3, 4 and 5 cm, respectively. Find its area.

Find the area of a circle with radius 3.5 cm.

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.

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions

From a rectangular sheet of paper ABCD with AB=40CM and AD=28cm, a sem...
Text Solution
|
A card is drawn at random from a well shuffled pack of 52 playing card...
Text Solution
|
In the given figure, a triangle PQR is drawn to circumscribe a circle ...
Text Solution
|
Draw a triangle ABC with BC=7cm, /B=45^0a n d/C=60^0dot Then construct...
Text Solution
|
Find the sum of all multiples of 7 lying between 500 and 900.
Text Solution
|
Solve the following quadratic equation for xdot x^2-4a x-b^2+4a^2=0
Text Solution
|
A solid right circular cone is cut into two parts at the middle of its...
Text Solution
|
In the figure, AB is a diameter of the circle with centre O and OA = 7...
Text Solution
|
A golf ball has diameter equal to 4.2cm. Find its capacity.
Text Solution
|
A bucket is in the form of a frustum of a cone and holds 15.25 litres ...
Text Solution
|
A shuttle cock used for playing badminton has the shape of a frustum o...
Text Solution
|
The radius of the base of a right circular cone of semi-vertical an...
Text Solution
|
A container, opened from the top and made up of a metal sheet, is in...
Text Solution
|
A tent consists of a frustum of a cone capped by a cone. If the rad...
Text Solution
|
The radius of the base of a right circular cone is r. It is cut by a p...
Text Solution
|
A right circular cone is divided by a plane parallel to its base in tw...
Text Solution
|
If a cone of radius 10cm is divided into two parts by drawing a plane ...
Text Solution
|
A solid cylinder of diameter 12cm and height 15cm is melted and recast...
Text Solution
|
A kite is flying at a height of 30m from the ground. The length of ...
Text Solution
|
The distance of the point (-3,4) from the x-axis is : (a) 3 (b) -3 (...
Text Solution
|