Answer:
[tex]height = 4[/tex]
Step-by-step explanation:
By the Pythagorean Theorem, we know:
[tex]a^2 + b^2 = c^2[/tex]
Where [tex]c[/tex] is the slope.
Here we see the following:
[tex]a = 3\\b = ???\\c = 5[/tex]
Plug in the numbers:
[tex]3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\b = \sqrt{16}\\ b = 4[/tex]
