SOLUTION: The two shorter sides of a right angled triangle have lengths 3m and 6m. find the length of the hypotenuse in the form a(square root)b metres, where a and b are prime numbers.

Algebra ->  Square-cubic-other-roots -> SOLUTION: The two shorter sides of a right angled triangle have lengths 3m and 6m. find the length of the hypotenuse in the form a(square root)b metres, where a and b are prime numbers.       Log On


   

Question 910793: The two shorter sides of a right angled triangle have lengths 3m and 6m.
find the length of the hypotenuse in the form a(square root)b metres, where a and b are prime numbers.
I got stuck in this question and my book doesn't show how to do it, can anyone help. All suggestions and answers will be appreciated! Thank you for helping me:) and taking your time to answer my question and showing the working out step by step.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The two shorter sides of a right angled triangle have lengths 3m and 6m.
find the length of the hypotenuse in the form a(square root)b metres, where a and b are prime numbers.
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It's the Pythagorean Theorem.
You have to know it.
c%5E2+=+3%5E2+%2B+6%5E2
c%5E2+=+45
c+=+sqrt%2845%29+=+3sqrt%285%29