Sides of IstTriangle is 5 , 3 ,4 and inside is 18
And second ∆ sides is 3,5,4 and inside is 65
Then
If triangle side is 9,6,3 then inside is ?
Answers
[ Refer the attachment for figure. ]
Triangle (a) having sides 5, 3 and 4 and inside is 18.
Let it's first side be 5, second be 3 and 4 be third.
→ M = 5, J = 3 and N = 4
Now,
→ (J)² + (M + N)
→ (3)² + (5 + 4)
→ 9 + 9
→ 18 (which is correct)
Similarly, Triangle (b) having sides 3, 5 and 4 and inside is 65.
→ M = 3, J = 5 and N = 4
→ (J)² + (M + N)
→ (5)² + (3 + 4)
→ 25 + (7)
→ 32 (but correct one is 65)
So, the above formula is not applied on it.
Now,
For Triangle (a):
Sum the all sides + sum the middle one after splitting it.
→ 3 + 5 + 4 + (1 + 8) = 21
Now, for Triangle (b):
→ 3 + 5 + 4 + (6 + 5) = 23
Difference of two in both
For Triangle (c):
→ 9 + 6 + 3 + ( __ + __ ) = 25
→ 18 + ( __ + __ ) = 25
→ ( __ + __ ) = 25 - 18
→ ( 7 + 0 ) = 7
So,
→ 9 + 6 + 3 + (7 + 0) = 25
So, in triangle (c) sides are 9, 6, 3 and inside it 70 is present.
(Also, it can be 34, 43, 61, 16, 52, 25)
Given :-
→ 5 -- 3 -- 4 = 18
→ 3 -- 5 -- 4 = 65
→ 9 -- 6 -- 3 = ?
Solution :-
Adding All Digits we get :-
→ (5 + 3 + 4) + (1 + 8) = 21
Similarly,
→ ( 3 + 5 + 4) + (6 + 5) = 23 .
So, we can conclude That, 21 & 23 are In series with (+2) .
So, Our Next Outcome Sum will be = 23 + 2 = 25.
So,
→ ( 9 + 6 + 3) + (x + y) = 25
→ 18 + (x + y) = 25
→ (x + y) = 25 - 18
→ (x + y) = 7
So,
→ Possible Two - Digits Numbers are = { 70 , 16 , 61, 25, 52 , 34 & 43 }.
So, Now we Have to Check Options ,which one from These is given, That will be Our Answer.