Question
In triangle ABC, angle A is 90
src="file:///C:/Users/ashut/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" alt="" width="6" height="20" /> . AB =6cm. AC = 8cm. A square DEFG is drawn inside the triangle whose side FG is coincident with BC. E and D lie on the sides AB and AC respectively. FIND OUT Length of the side of the square (cm).Solution
∠A = 90° AB = 6cm AC =8cm BC = 10 cm When a square is formed inside the triangle and one side of the square coincides with the hypotenuse The length of side of the square = ABC/ a² +b² +c² =(6×8×10)/(36+64+48) = 480/148 = 120/37cm 
Statements: O < P > Q; R < V ≤ P; O > N
Conclusions:
I. P > N
II. R < O
III. Q < N
Statements: A > O = I ≥ C = D > K = P, P < M = R
Conclusions:
I. C > R
II. R > K
III. P ≤ O
- Statements: M > N > Q = O ≤ P ≤ T, R > S = M
Conclusions:
I. Q > S
II. T ≥ N
III. O < S Statements: H ≥ I > J, K > J, L = M ≥ J
Conclusions:
I. L > K
II. H > J
In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.
St...
Statements: J > K > M ≤ N < O; M > P > L
Conclusions:
I. J > L
II. P < O
III. J > O
Statements: R % B, B & T, T @ E, E % G
Conclusions : I. T $ R II. R @ E III. B @ G
...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: B & T, K ⋆ B, S ⋆ K
Conclusions: a) K ⋆ T b) S # T
...Statements: P @ Q, Q $ R, R & S, S % T
Conclusions:
I. Q @ S
II. T & P