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ICSE Class 9 Answered

In an equilateral triangle, prove that the centroid and the circumcentre of the triangle coincide
Asked by pereiracalida | 14 Jan, 2018, 06:56: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style Construction colon space Drawmedians space AD comma space BE space and space CF. Let space straight G space be space the space centroid space of space triangle space ABC. In space triangles space BEC space and space BFC comma angle straight B equals angle straight C equals 60 degree BC equals BC BF equals CE rightwards double arrow triangle BEC approximately equal to triangle BFC rightwards double arrow BE equals CF space space space space space space.... left parenthesis straight i right parenthesis Similarly comma space triangle CAF approximately equal to triangle CAD rightwards double arrow CF equals AD space space space space space space space.... left parenthesis ii right parenthesis From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma AD equals BE equals CF rightwards double arrow 2 over 3 AD equals 2 over 3 BE equals 2 over 3 CF rightwards double arrow GA equals GB equals GC rightwards double arrow straight G space is space equidistant space from space the space vertices. rightwards double arrow straight G space is space the space circumcentre space of space triangle space ABC. end style
Answered by Rashmi Khot | 15 Jan, 2018, 11:28: AM

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ICSE 9 - Maths
Two parallel chords are drawn in a circle of diameter 300 cm. The length of one chord is 24.0 cm and the distance between the two chords is 21.0 cm; find the length of the other chord.
Asked by siddeshmankar90.9spicertl | 06 Feb, 2021, 02:16: PM
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ICSE 9 - Maths
In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm ar drawn. Find the distance between the chords if both the chords are  (i) on the opposite sides of the centre (ii) on the same side of the centre .,:,entre.
Asked by siddeshmankar90.9spicertl | 06 Feb, 2021, 01:57: PM
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ICSE 9 - Maths
in a circle of radius 17cm ,two parallel chords of lenghts 30cm and 16 cm are drawn. Find the distance between the chords, iif both the chords are on the opposite sides of a circentre and onthe same side of the circle
Asked by sharmasukhjinder7 | 10 Jan, 2020, 11:55: AM
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ICSE 9 - Maths
Class 9 project on circle cm graph  
Asked by Sumitavbeyond | 29 Jan, 2018, 06:17: PM
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ICSE 9 - Maths
In the given figure, angle DBC = 58 and BD ia a diameter of the circle. find (i) angle BDC (ii) angle BEC (iii) angle BAC
Asked by pereiracalida | 17 Jan, 2018, 11:00: PM
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ICSE 9 - Maths
In the figure, AB is parallel to DC, angle BCE = 80 and angle BAC = 25. Find (i) angle CAD (ii) angle CBD (iii) angle ADC
Asked by pereiracalida | 17 Jan, 2018, 10:47: PM
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ICSE 9 - Maths
In the given figure,O is the centre of the circle, angle AOB = 30 and angle OCB= 40 calculate angle AOC
Asked by pereiracalida | 17 Jan, 2018, 10:33: PM
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ICSE 9 - Maths
in the given figure ABCDE id a pentagon inscribed in a circle. If AB=BC=CD, angle BCD= 110 and angle BAE= 120 find (i) angle ABC (ii) angle CDE (iii) angle AED (iv) angle EAD
Asked by pereiracalida | 14 Jan, 2018, 07:36: PM
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ICSE 9 - Maths
In the given figure two chords AB and CD of a circle intersect at a point P. If AB = CD, prove that arc AD = arc CB
Asked by pereiracalida | 14 Jan, 2018, 07:29: PM
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ICSE 9 - Maths
In the given figure, two chords AC and BD of a circle intersect at E. if arc AB = arc CB, prove that BE = EC and AE = ED
Asked by pereiracalida | 14 Jan, 2018, 07:26: PM
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