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the sides of a right triangle are a, a+d, a+2d with a and d both positive. what is the value of ratio a:d?
a, a+d, a+2d are in A.P
but in this qstn. it doesn''t matter.
Just apply the simple and sober Pythogorus formula on these sides of right triangle.
a2 + (a+d)2 = (a + 2d)2
a2 + a2 + d2 +2ad = a2 + 4d2 + 4ad
a2 + d2 - 2ad = 4d2
(a - d)2 = 4d2
a - d = +-2d
Case 1. a - d = 2d
a = 3d
a/d = 3
Case 2. a-d = -2d
a= - d
or
d = -a
but given that d > 0
thus, answer is a/d = 3
Plz approve!!!!!!!!!!!
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