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im not sure how to do this equation... find a third number so that the three numbers form a right triangle. the numbers are 9, 41, and blank, please help

 Mar 22, 2016

Best Answer 

 #4
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+5

Learn the standard pythagorean triples, they'll really come in handy. 

You know, like 3-4-5 triangles. 

One triple is 9-40-41- however in this case the 41 HAS to be the hypotenuse, because it is the largest number. If the triangle you are describing does not have a hypotenuse of 41, and 41 is the base or height, then you'll have to use the pythagorean theorem, a^2 + b^2 = c^2.

 Mar 22, 2016
 #1
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Is it the hypotenuse that is missing?

 Mar 22, 2016
 #2
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If it is the hypotenuse that is missing, use the pythagorean theorem: a2 + b2 = c2

a=9

b=41

92 + 412 =  c2

 

81+1681= c2

1762= c2

sqrt(1762)= c 

 Mar 22, 2016
 #3
avatar+10 
0

If it is not the hypotenuse that is missing, modify the formula.

 Mar 22, 2016
 #4
avatar
+5
Best Answer

Learn the standard pythagorean triples, they'll really come in handy. 

You know, like 3-4-5 triangles. 

One triple is 9-40-41- however in this case the 41 HAS to be the hypotenuse, because it is the largest number. If the triangle you are describing does not have a hypotenuse of 41, and 41 is the base or height, then you'll have to use the pythagorean theorem, a^2 + b^2 = c^2.

Guest Mar 22, 2016
 #5
avatar+26388 
+5

im not sure how to do this equation... find a third number so that the three numbers form a right triangle. the numbers are 9, 41, and blank, please help

 

\(\begin{array}{rcll} x^2+9^2 &=& 41^2 \quad & | \quad -9^2 \\ x^2 &=& 41^2 - 9^2 \\ x^2 &=& 1681 - 81 \\ x^2 &=& 1600 \quad & | \quad \sqrt{} \\ x &=& \sqrt{ 1600 } \\ x &=& 40 \\ \end{array}\)

 

The third number is 40.

 

laugh

 Mar 22, 2016
edited by heureka  Mar 22, 2016

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