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