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if the hypotnuse is 10 cm and they length of a trangle is 5 cm what is the hight of the triangle?

Guest Apr 21, 2017
 #1
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According to the Pythagorean theorem:   (height)2 + (length)2 = (hypotenuse)2

Plug in the values given in the problem:

(height)2 + (5)2 = (10)2

 

(height)2 + 25 = 100

 

(height)2 = 100 - 25

 

(height)2 = 75

 

height = +\(\sqrt{75}\)

 

height = \(5\sqrt3\)   cm

hectictar  Apr 21, 2017

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