Question

The three sides of a right angled triangle are of integral lengths which form an AP. Which of the following could be the length of one of the sides?
22, 58, 81, 91, 361 @mayankdevnani

Answer 1

use pythagoras theorem

Answer 2

ooooooo

Answer 3

\[\large \bf a^2+(a-d)^2=(a+d)^2\]
\[\large \bf a^2+a^2+d^2-2ad=a^2+d^2+2ad\]

Answer 4

\[\large \bf a^2=4ad\]
\[\large \bf a=4d\]

Answer 5

im not sure how that helps tho

Answer 6

if we take
a=22,then d=22/4=5.5

Answer 7

but we have to take only integral lengths
So, 22 is not the answer

Answer 8

understood ??

Answer 9

ahhhhhhhhhh yes

Answer 10

so,next option :-
a=58,d=58/4=14.5

Answer 11

nope

Answer 12

so this is also not our answer

Answer 13

none of them work...

Answer 14

next,a=81
then d=81/4=20.25

Answer 15

not our answer again !!

Answer 16

then,a=91
So,d=91/4=22.75

Answer 17

not our answer

Answer 18

now last
a=361
d=361/4=90.25

Answer 19

361 doesnt work either?

Answer 20

this is also not our answer

Answer 21

i think no one satisifes

Answer 22

do you know the correct answer ??? @CrashOnce

Answer 23

no i dont

Answer 24

should we try again with a, a+d and a+2d

Answer 25

show your work !!

Answer 26

and i am thinking !! wait.

Answer 27

no it wont work

Answer 28

i think nothing is the answer

Answer 29

@Directrix

Answer 30

@dan815 @triciaal

Answer 31

@jim_thompson5910 @ikram002p

Answer 32

@ganeshie8 @ganeshie8 plzzzz help...

Answer 33

@ganeshie8 @ganeshie8 @ganeshie8

Answer 34

well yes according to @mayankdevnani
a=4d
a+d=5d
a-d=3d

so , try all options ,

Answer 35

22,dont divide 3,5,4
58, dont divide 3,5,4
81,divide 3 , so it might be a-d
91, dont divide 3,4,5
361 dont divide 3,4,5,