Answer:
12'
Explanation:
Pythagoras theorem = a² = b²+c²
*a² is always the hypothenuse (the longest side if the triangle)
you could use b² as the base and c² as the height
to find the height i.e., c² you transpose and substitute what we know so that'll be
13'² = 5'² + c²
you expand which will then give you
169 = 25 + c²
you then take over the 25+ which when addition goes over the equal sign becomes subtraction so that'll now give you
169 - 25 = c²
144 = c²
we want to find for c not c² so to do that we find the square root of 144 which is equal to 12.
so the height is equal to 12'
hope this helps