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Two sides of a triangle are 4 cm and 10 cm. If the third side is x cm, then which of the following could be the value of x?

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Important Questions on Geometrical Shapes

EASY

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of 0?

Information :

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(II) 0 < q < 90°

MEDIUM
 The exterior angle of a regular polygon is 72°. What would be the sum of all its interior angles?
MEDIUM
In ABD, C is the midpoint of BD. If AB =10 cm, AD =12 cm and AC=9 cm, then BD=?
EASY
The distance between the centres of two circles having radii 5 cm and 6 cm is 10cm. Find the length (in cm) of direct common tangent.
MEDIUM
If a point Px,y moves along the ellipse x225+y216=1 and if C is the centre of the ellipse, then the sum of maximum and minimum values of CP is
EASY
If the distance between the foci of an ellipse is 6 and the distance between its directrix is 12, then the length of its latus rectum is
MEDIUM

5 : 18 is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

EASY
An arc length of 16π units subtends an angle of 240 degrees. Find the radius (in unit) of the circle.
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A hall is 15 m long and 12 m broad. The sum of the areas of the floor and the ceiling is?(in square meters).
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If the interior angle of a regularpolygon is 108°, then it is a-

1. Octagon

2. Hexagon

3. Pentagon

4. Tetragon 

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How many tangents can be drawn to two circles, whose radii are equal to 4 cm and 5 cm respectively and the distance between the two centres is 5 cm.
MEDIUM
The equation of the circle passing through the foci of the ellipse x216+y29=1, and having centre at 0,3 is
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The length of one side and the diagonal of a rectangle are 10 cm and 26 cm respectively. Find the length of the other side (in cm).
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In the given diagram, point R and Q are on PS. ÐPQT = x°, ÐRQT = (x – 50)° and ÐTUR = (x + 25°). find the value of ÐURS.

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EASY
Find the perimeter (in cm) of a semicircle of radius 7 cm.
EASY
In ABC, the measure of angle ABC is 90°. If tanA=125, and AB=1 cm, then what is the length (in cm) of side BC?
EASY
The area of an equilateral triangle is 183 sq. units. Find the value of the side (in units) of the triangle.
MEDIUM
If the length of a rectangle is decreased by 5 metres and breadth increased by 3 metres, its area decreases by 9 m2. If its length is increased by 3 m and breadth by 2 m, its area increases by 67m2. What is the length of the rectangle ?
HARD
If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is:
HARD

A rectangular garden of length 12 m is surrounded by a 2 m wide path. If the area of the garden is 84 m2 and the cost of gravelling is 8 per m2, then what is the total cost of gravelling the path?