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# hight of a triangle

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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
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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