Question
Given a right-angled triangle with the perpendicular
measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the triangle.Solution
Using Pythagoras theorem, (Perpendicular)Â 2 Â + (Base)Â 2 Â = (Hypotenuse)Â 2 Or, 362 Â + 482 Â = (Hypotenuse)Â 2 Or, (Hypotenuse)2 Â = 1296 + 2304 = 3600 Since, the hypotenuse of a triangle cannot be negative. So, Hypotenuse = 60 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (60/2) = 30 cm
the following question the relationship between different elements is given in the statements followed by two conclusions given below. Decide which of...
Statements: D = P > Q = X ≤ Y = M; J = X; K > Q
Conclusion: I. M > K II. M ≤ K
Statements:Â
A $ B % D % CÂ
Conclusions:Â
I. B © CÂ
II. A * DÂ
III. C % A
Statements: A = C > G > H = B > O; E < P = R > B
Conclusions:
I). Â E > H
II).  H ≤ E
...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 th...
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 th...
Statements: M ≥ G > K = Y; A ≥ Z ≥ E > M = I
Conclusions:
I. A ≥ I
II. K < E
III. I > G
Statements: R ≥ S = T; R < U < V; W > X > V
Conclusion:
I. U > T
II. T < V
Statements: R > N > Z < O = I ≥ T < W < S ≤ L
Conclusion
I: L > Z
II: O > T
Statement: E < N < Q = W = F ≥ U > A
Conclusion:
I. Q > A
II. E > F
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