Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 9 Answered

1)The length of two sides of a right angled triangle containing the right angle differ by 6cm.If the area is 36cm2 find the perimeter 2) Solve simultaneously 3/x+4y=7 5/x+6y=13  
Asked by Sunita | 09 Mar, 2018, 02:40: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space length space of space base equals straight x space cm
Then comma space height equals left parenthesis straight x minus 6 right parenthesis space cm
Now comma space area equals 36 space cm squared
rightwards double arrow 1 half cross times straight x cross times left parenthesis straight x minus 6 right parenthesis equals 36
rightwards double arrow straight x squared minus 6 straight x equals 72
rightwards double arrow straight x squared minus 6 straight x minus 72 equals 0
rightwards double arrow straight x squared minus 12 straight x plus 6 straight x minus 72 equals 0
rightwards double arrow straight x left parenthesis straight x minus 12 right parenthesis plus 6 left parenthesis straight x minus 12 right parenthesis equals 0
rightwards double arrow left parenthesis straight x minus 12 right parenthesis left parenthesis straight x plus 6 right parenthesis equals 0
rightwards double arrow straight x equals 12 space or space straight x equals negative 6
Rejecting space straight x equals negative 6 comma space since space length space of space straight a space side space cannot space be space negative.
straight x equals 12 space cm equals base
rightwards double arrow straight x minus 6 equals 12 minus 6 equals 6 space cm equals height
Thus comma space hypotenuse equals square root of 12 squared plus 6 squared end root equals square root of 144 plus 36 end root equals square root of 180 equals 6 square root of 5 space cm
Hence comma space perimeter equals 12 plus 6 plus 6 square root of 5 equals 18 plus 6 square root of 5 space space cm end style
 
Note: Please post one query at a time.
Answered by Rashmi Khot | 09 Mar, 2018, 04:24: PM
ICSE 9 - Maths
Asked by mak121007abk | 25 Feb, 2023, 07:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by aryan2mumbai | 01 Sep, 2020, 08:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by kavyaraval1075.9sdatl | 08 Jun, 2020, 07:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by simranmangnani2282.9sdatl | 13 May, 2020, 02:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by bsap6777 | 28 Aug, 2018, 09:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by Sunita | 09 Mar, 2018, 02:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by lovemaan5500 | 04 Jan, 2018, 07:29: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×