Question
In a right angle triangle, the product of two sides is
half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?Solution
According to the question, BC×AB = 1/2AC2 -----(1) BC2 + AB2 = AC2 -----(2) by Pythagoras Putting the value of AC2 in equation (2), BC2 + AB2 = 2BC × AB Or BC2 + AB2 - 2BC × AB = 0 Or (BC – AB)2 = 0 Or BC – AB = 0 Or BC = AB Hence ∠BAC = ∠BCA = 45 (As sum of two angles other right angle in a right angle triangle is 900).
Statements: K = L ≥ Q; P < R ≤ S = Q; T = U ≤ P
Conclusions:
I. K > R
II. T < QStatements :
A > B > C
Y > B
D > C > Z
Conclusions :
I. Z > D
II. Y > A
III. B > Z
...Statements:          K @M,   L #M,  L$W,  W%X
 Conclusions:         Â
I.K%LÂ Â Â
II. M@WÂ Â Â Â Â <...
Statements: A < B ≤ C, A > E, F ≤ B < D
Conclusions:
I. D > A
II. E < B
III. C > E
IV. D > C
Statements: G < B ≤ T < U = F ≥ S
Conclusion: I. S ≤ T II. F > B
...Which of the following symbols should be placed in the blank spaces (_) respectively (in the same order from left to right) to complete the given expres...
Statement: A ≥ B ≥ C = D > E, F > G = H ≤ CÂ
Conclusion: I. C ≥ F                         II. F > D
...Which of the following expressions will be true if the given expression ′S > T ≥ U < V < W′ is definitely true?
Statements: Â A % B & G % B; B # L & J; J @ K # S
Conclusions:
I. L @ K
II. A % K
III. S @ B
...Statements:
Few Platforms are Trains.
All Platforms are Stations.
Some Stations are not Passengers.
Conclusion:
I. No...
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