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CBSE Class 10 Answered

Find the area of the triangle whose vertices are (a, b), (a + b, a + b) and (a - b, a - b)? reply fast
Asked by piyushmalik024 | 18 Aug, 2019, 08:57: AM
answered-by-expert Expert Answer
A r e a space o f space a space t r i a n g l e space equals space 1 half open square brackets x subscript 1 left parenthesis y subscript 2 minus y subscript 3 right parenthesis plus x subscript 2 open parentheses y subscript 3 minus y subscript 1 close parentheses plus x subscript 3 open parentheses y subscript 1 minus y subscript 2 close parentheses close square brackets
equals 1 half open square brackets a open parentheses a plus b minus a plus b close parentheses plus left parenthesis a plus b right parenthesis left parenthesis a minus b minus b right parenthesis plus left parenthesis a minus b right parenthesis left parenthesis b minus a minus b right parenthesis close square brackets
equals 1 half open square brackets 2 a b plus a squared minus 2 a b plus a b minus 2 b squared minus a squared plus a b close square brackets
equals 1 half open square brackets 2 a b minus 2 b squared close square brackets
equals a b minus b squared
Answered by Renu Varma | 19 Aug, 2019, 09:59: AM
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