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Three circles each of diameter 2x are drawn inside an equilateral triangle with perimeter 3y such that each circle touches the other two and also other two sides then the ratio of radius of a circle to side of a triangle is _____.

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Important Questions on Quadrilateral

MEDIUM

In the given figure, ABC is an isosceles triangle with AB = AC. If AE = AF and BAE=40°, then the measure of the angle FEC is

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EASY
If the measure of each interior angle of a regular polygon is 135°, then the number of its sides is
MEDIUM

If sinθ=1213, find the value of cosθ & tanθ.

MEDIUM
The in-radius and circumradius of a right-angled triangle is 3 cm and 12.5 cm, respectively. The area of the triangle is:
EASY
Shape made by the bisectors of angles of a parallelogram is
EASY
In the right triangle shown in the figure, what is the value of cosecθ?
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EASY

The rod AC of a TV disc antenna is fixed at right angles to the wall AB and a rod CD is supporting the disc as shown in the figure. If AC=1.5 m long and CD=3 m, find secθ+cosecθ

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MEDIUM
In quadrilateral ABCDB=90°,C-D=60° and A-C-D=10°. Find the measure of the smallest angle of this quadrilateral.
MEDIUM

Let ABCD be a square. An arc of a circle with A as centre and AB as radius is drawn inside the square joining the points B and D. Points P on AB, S on AD, Q and R on arc BD are taken such that PQRS is a square. Further suppose that PQ and RS are parallel to AC. Then,  area PQRS area ABCD is

 

MEDIUM

The angles of a quadrilateral are in the ratio 3:5:7:9. Find the measure of each of these angles.

EASY
 Opposite angles of a quadrilateral ABCD are equal. If AB=4 cm, then CD is:
MEDIUM

The three angles of a quadrilateral are 76°, 54° and 108°. Find the measure of the fourth angle.

MEDIUM
The angles of quadrilateral are in the ratio 1:3:7:9. The measure of the largest angle is
EASY

The quadrilateral formed by angle bisectors of a cyclic quadrilateral is a

EASY
The diagonals of a rectangle bisects each other at 90°.
MEDIUM

The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle.

EASY
Name the quadrilaterals whose diagonals.

(i) Bisect each other

(ii) Are perpendicular bisectors of each other

(iii) Are equal