Answer:
D
Step-by-step explanation:
a^2 + b^2 = c^2
a = 10
c = 15
b = ?
10^2 + b^2 = 15^2 Substitute known values for a and c
100 + b^2 = 225 Subtract 100 from both sides
b^2 = 225 - 100
b^2 = 125 Take the square root of both sides
sqrt(b^2) = sqrt(125)
125 = 5*5*5
sqrt(b^2) = sqrt(5*5*5)
for every pair of equal factors, one can be taken from under the square sign; the other factor disappears.
b = 5 sqrt(5)
