Question
In triangle ABC, if the sides are a = 13 cm, b = 14 cm,
and c = 15 cm, find the circumradius (R).Solution
Using the formula: R = (abc) / (4 × Area). Area using Heron’s formula: s = (13 + 14 + 15) / 2 = 21 cm, Area = √(21 × (21 - 13) × (21 - 14) × (21 - 15)) = √(21 × 8 × 7 × 6) = 84 cm². Thus, R = (13 × 14 × 15) / (4 × 84) = 8.125 cm.
Statements: D < O = Q > U < I ≤ R; K ≥ O = I; R > H ≥ G
Conclusions:
I. R > O
II. K > U
III. H ≥ Q
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statement: A ≤ B; A ≤ I; B = D; I < C
Conclusion:
I. C ≤ B
II. D ≥ C
Given statement shows the relation between different elements followed by two conclusions. Â
Statement: C1 < L1 > I2 = E1 ≥ N2 > T1 Â
...
Statements: A % B & G @ T $ D; W % A # P
Conclusions :Â Â Â Â Â I. D % BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. A % GÂ Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statement-1 - P > Q ≥ R < S > T
2 - L ˃ R ≥ M ≥ N
Conclusions:
P > N
Q ≥ M
L < N
...In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and t...
Statements:Â Â Â Â Â Â A @ D % M % N; M $ P $ Q
Conclusions :     I. D % Q                              I...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements:Â Q $ Z % C # T @ HÂ
Conclusions:Â
I. Z # HÂ
II. Q © TÂ
III. H % Z