\n"},"name":"Quiz on Geometrical Shapes","typicalAgeRange":"10-17","url":"https://www.embibe.com/questions/In-the-given-diagram%2C-point-R-and-Q-are-on-PS.-%C3%90PQT-%3D-x%C2%B0%2C-%C3%90RQT-%3D-%28x-%E2%80%93-50%29%C2%B0-and-%C3%90TUR-%3D-%28x-%2B-25%C2%B0%29.-find-the-value-of-%C3%90URS.%0A%0A/EM3466674"}
In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be-
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Important Questions on Geometrical Shapes 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 ). In the given diagram, point R and Q are on PS. Ð PQT = x°, Ð RQT = (x – 50)° and Ð TUR = (x + 25°). find the value of Ð URS.
How many tangents can be drawn to two circles, whose radii are equal to 4 c m and 5 c m respectively and the distance between the two centres is 5 c m . The area of an equilateral triangle is 18 3 sq. units. Find the value of the side (in units) of the triangle. The exterior angle of a regular polygon is 72 ° . What would be the sum of all its interior angles? An arc length of 16 π units subtends an angle of 240 degrees. Find the radius (in unit) of the circle. The distance between the centres of two circles having radii 5 c m and 6 c m is 10 c m . Find the length (in c m ) of direct common tangent. If the measure of the interior angle of a regular polygon is 108 0 , then how many sides does It have? 5 : 18 is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?
In ∆ A B D , C is the midpoint of B D . If A B = 10 cm, AD = 12 cm and A C = 9 cm, then B D = ? In △ A B C , the measure of angle ∠ A B C is 90 ° . If tan A = 12 5 , and A B = 1 c m , then what is the length (in c m ) of side B C ? If the interior angle of a regularpolygon is 108 ° , then it is a-
1. Octagon
2. Hexagon
3. Pentagon
4. Tetragon
The two circles with radii 6 c m and 3 c m centred at the point P and Q respectively. A transverse common tangent A C to the both circles cuts line Joining P and Q at the point B such that A B = 8 c m . Calculate the length (in cm.) of P Q .
Find the perimeter (in c m ) of a semicircle of radius 7 c m . The angle subtended by the chord of length 10 cm is 120 ° at the centre. Calculate the distance of the chord (in cm ) from the centre. Which among the following statements are certainly correct?
The side of an equilateral triangle is 10 c m . Find its area (in c m 2 ). Read the given question and decide which of the following information is sufficient to answer the question.
What is the value of 0?
Information :
(II) 0 < q < 90°
If the length of a rectangle is decreased by 5 metres and breadth increased by 3 metres, its area decreases by 9 m 2 . If its length is increased by 3 m and breadth by 2 m , its area increases by 67 m 2 . What is the length of the rectangle ? 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).