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CBSE Class 10 Answered

This ques is from chap. A.P. Please give me ans. Fast its an urgunt
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Asked by Chavanchintu04 | 20 Feb, 2019, 05:54: PM
answered-by-expert Expert Answer
Let the sides are (a-d), a, (a+d) which are in A.P
 
if smaller sides (a-d) and a are sides of right angle, then (a+d) is hypotenuse.
 
Hence we have (a-d)2 + a2 = (a+d)2 
 
2a2 +d2 -2ad = a2 + d2 + 2ad     or    a2 -4ad = 0    or  d  = a/4
 
hence sides are  in the ratio  [a-(a/4)] : a :  [ a+ (a/4) ]    =  (3/4) : 1 : (5/4)     or  3:4:5
Answered by Thiyagarajan K | 20 Feb, 2019, 06:30: PM
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