A circle touches all the four sides of q...

A circle touches all the four sides of quadrilateral ABCD. Prove that AB + CD = AD + BC.

Text Solution

AI Generated Solution

Topper's Solved these Questions

SAMPLE PAPER 2023 TERM I
CBSE MODEL PAPER|Exercise SECTION-E|7 Videos

Similar Questions

Explore conceptually related problems

A circle touches all the four sides of a quadrilateral ABCD.Prove that AB+CD=BC+DA

A circle touches all the four sides of a quadrilateral ABCD .Prove that: AB+CD=BC+DA

A circle touches all the four sides of a quadrilateral ABCD. If AB = 9 cm, BC= 8 cm and CD = 12 cm, then what is DA equal to?

In Figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6cm,BC=9cm and CD=8cm. Find the length of side AD.

In the figure, a circle touches all the four sides of a quadrilateral ABCD whose sides AB= 6.5 cm, BD= 5.4 cm and CD = 5.3 cm . The length of AC is :

If circle touches all the sides of a quadrilateral ABCD, if AB = 7 cm, CD = 3 cm, BC = 8.5 cm. Find the length of AD.

In Fig.10.54 a circle touches all the four sides of a quadrilateral ABCD with AB=6cmBC=7cm and CD=4cm. Find AD. (FIGURE)

A circle touches all sides of quadrilateral ABCD then which one of these is true :

If the sides of a quadrilateral ABCD touch a circle prove that AB+CD=BC+AD.

CBSE MODEL PAPER-SAMPLE PAPER 2024-Question

The coach of a cricket team buys 4 bats and 1 ball for Rs. 2050. Later...
Text Solution
|
A lending library has a fixed charge for the first three days and an a...
Text Solution
|
A circle touches all the four sides of quadrilateral ABCD. Prove that ...
Text Solution
|
Prove that: (cosec theta - cot theta)^2 = frac{1 - cos theta}{1 + cos ...
Text Solution
|
Prove that sec A (1 – sin A) (sec A + tan A) = 1.
Text Solution
|
A bag contains 6 red, 4 black and some white balls. (i) Find the num...
Text Solution
|
A train travels 360km at a uniform speed. If the speed had been 5km/h ...
Text Solution
|
A motor boat whose speed is 18 km/h m still water takes 1 hour more...
Text Solution
|
A medicine capsule is in the shape of a cylinder with two hemispheres ...
Text Solution
|
A gulab jamun contains sugar syrup upto about 30% of its volume. (1...
Text Solution
|
CASE STUDY 1 India is competitive manufacturing location due to the ...
Text Solution
|
CASE STUDY 2 Alia and Shagun are friends living on the same street i...
Text Solution
|
CASE STUDY 3 A boy is standing on the top of light house. He observe...
Text Solution
|
If two positive integers a and b are written as a = x^3y^2 and b = xy^...
Text Solution
|
The given linear polynomial y = f(x) has
Text Solution
|
The lines representing the given pair of linear equations are non-inte...
Text Solution
|
The nature of roots of the quadratic equation 9x^2 – 6x – 2 = 0 is:
Text Solution
|
Two APs have the same common difference. The first term of one of the...
Text Solution
|
What is the ratio in which the line segment joining (2,-3) and (5, 6) ...
Text Solution
|
A point (x, y) is at a distance of 5 units from the origin. How many s...
Text Solution
|