Question
Calculate the hypotenuse of an isosceles right-angled
triangle where the equal sides are 8√6 cm each.Solution
ATQ, Since ΔABC is an isosceles right-angled triangle, then AC = AB ⇒ AC = AB = 8√6 cm (Given) Now, using the Pythagoras theorem, we get BC² = AC² + AB² ⇒ BC² = AB² + AB² ⇒ BC² = 2AB² ⇒ BC² = 2(8√6)² ⇒ BC² = 2(64 × 6) ⇒ BC² = 768 ⇒ BC = √768 = 16√3 cm Hence, the length of the hypotenuse is 16√3 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