Answered: B) C) 4 B. 6. 12

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 62E: Is it possible that P(AB)=P(A)? Explain.

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Step 1

According to pythagorean Theorem,

Square of hypotenuse is always equal to sum of square of other two sides,

Therefore ,

In Right angle triangle ABC,

$A B^{2} = A C^{2} + B C^{2} A B^{2} = 4^{2} + 12^{2} A B^{2} = 16 + 144 A B^{2} = 160 T a k i n g s q u a r e r o o t o n b o t h s i d e, A B = 4 \sqrt{10} u n i t s,$

In Right angle triangle RTS

$R S^{2} = R T^{2} + T S^{2} R S^{2} = 3^{2} + 6^{2} R S^{2} = 9 + 36 R S^{2} = 45 T a k i n g s q u a r e r o o t o n b o t h s i d e, R S = 3 \sqrt{5} u n i t s$