Question
In a right-angled triangle, the hypotenuse is 20 cm, and
one of the legs is 12 cm. Find the area of the triangle.Solution
Let the legs of the right-angled triangle be a and b, and the hypotenuse be c. Given: c = 20 cm and a = 12 cm. Using Pythagoras' theorem: c² = a² + b² 20² = 12² + b² 400 = 144 + b² b² = 256 b = 16 cm Area of the triangle = 1/2 × a × b Area = 1/2 × 12 × 16 = 96 cm² Correct option: B) 96 cm²
Statement: F < G; H ≥ I; H ≥ K; I > G ≥ J
Conclusion:
I. G > K
II. K > J
Statements: B ≥ C > D; B < E > J; G > A ≥ H > J
Conclusion:
I. D ≤ A
II. G > C
Statement: D < M < P = V = E ≥ T > Z
Conclusion: I. P > Z II. D > E
Which of the following will be definitely true if the given expression P > S ≥ U > V = T ≤ W < R = Q is definitely true?
Statement: M = C ≥ A = V < Q = S
Conclusions:
I. M ≥ V
II. A < S
Statements : C © S * R, U % R $ ZÂ
Conclusions :Â
I. Z $ CÂ
II. U % SÂ
III. U © C
Statements: E > O, S < Z, O ≤ S
Conclusions:
I. E < S
II. O < Z
Statement: F < G; F ≥ H > I; D ≥ E > G
Conclusion:
I. I ≥ G
II. E ≥ F
Which among the following symbols should replace the question mark [?] (in the same order from left to right) in the given expression in order to make b...
Statements: A ≤ J ≤ K = M; Y ≥ Z > A
Conclusions:
I. J ≤ Z
II. Z ˃ Y
