Answer:
[tex]x = \sqrt{28} [/tex]
Step-by-step explanation:
Given,
Base of the triangle = 6
Hypotenuse of the triangle = 8
Let the height of the triangle = x
Therefore, According to Pythagoras Theorem,
[tex] {8}^{2} - {6}^{2} = {x}^{2} [/tex]
[tex] = > 64 - 36 = {x}^{2} [/tex]
[tex] = > 28 = {x}^{2} [/tex]
[tex] = > x = \sqrt{28} (ans)[/tex]
