If the sides of a right angled traingle are i | vedclass

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Question

(c) Let the sides of the triangle be $a - d,\;a,\;a + d$,

then hypotenuse being the greatest side $i.e.$ $a + d$.

So, ${(a + d)^2} = {a^2} + {(a

Vedclass · Accepted Answer

$3:4:5$

Vedclass · Answer

(c) Let the sides of the triangle be $a - d,\;a,\;a + d$,

then hypotenuse being the greatest side $i.e.$ $a + d$.

So, ${(a + d)^2} = {a^2} + {(a - d)^2}$

$ \Rightarrow $ ${a^2} + {d^2} + 2ad = {a^2} + {a^2} - 2ad + {d^2} $

$\Rightarrow a = 4d$

Therefore ratio of the side $s = a - d:a:a + d$

$ = (4d - d)\;:\;4d:(4d + d) = 3:4:5$.

If the sides of a right angled traingle are in $A.P.$, then the sides are proportional to

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