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CBSE Class 9 Answered

Find the area of a triangle two sides of which  are 18 cm and 10cm and the perimeter is 42 cm
Asked by digantverma08 | 14 Aug, 2015, 02:10: PM
answered-by-expert Expert Answer
begin mathsize 12px style F i r s t space s i d e space o f space t h e space t r i a n g l e space equals space a space equals space 18 space c m S e c o n d space s i d e space o f space t h e space t r i a n g l e space equals space b space equals space 10 space c m T h i r d space s i d e space o f space t h e space t r i a n g l e space equals space c  a space plus space b space equals space 18 space plus space 10 space equals space 28 space c m P e r i m e t e r space o f space t h e space t r i a n g l e space equals space a space plus space b space plus space c space equals space 42 space c m H e n c e comma space c space equals space 42 space c m space minus space 28 space c m space equals space 14 space c m  A l s o comma space s space equals space fraction numerator a space plus space b space plus space c over denominator 2 end fraction equals 42 over 2 equals 21 N o w comma space b y space H e r o n apostrophe s space f o r m u l a comma A r e a space o f space t h e space t r i a n g l e space equals space A space equals space square root of s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis end root A space equals space square root of 21 left parenthesis 21 minus 18 right parenthesis left parenthesis 21 minus 10 right parenthesis left parenthesis 21 minus 14 right parenthesis end root A space equals space square root of 21 cross times 3 cross times 11 cross times 7 end root A space equals square root of 21 cross times 21 cross times 11 end root A space equals space 21 square root of 11 space c m squared end style
Answered by Kajal Gupta | 14 Aug, 2015, 04:19: PM
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