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The Hypotenuse of a trigngle is 9 cm.If one leg of the triangle is 6 cm, find the other leg. Simplify your answer

 Nov 2, 2014

Best Answer 

 #1
avatar+23254 
+5

The Pythagorean Theorem applies to right triangles:  c²  =  a² + b²

where  c  is the length of the hypotenuse, and  a  and  b  are the lengths of the other two sides.

The problem says that  c = 9  and  a = 6. You are to find the value of  b.

 c²  =  a² + b²     --->      9²  =  6² + b²     --->     81  =  36 + b²     --->     45  =  b²

--->     b  =  √45     --->     b  =  √9√5     --->     b  =  3√5

 Nov 2, 2014
 #1
avatar+23254 
+5
Best Answer

The Pythagorean Theorem applies to right triangles:  c²  =  a² + b²

where  c  is the length of the hypotenuse, and  a  and  b  are the lengths of the other two sides.

The problem says that  c = 9  and  a = 6. You are to find the value of  b.

 c²  =  a² + b²     --->      9²  =  6² + b²     --->     81  =  36 + b²     --->     45  =  b²

--->     b  =  √45     --->     b  =  √9√5     --->     b  =  3√5

geno3141 Nov 2, 2014

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