Answer:
x = 13
Step-by-step explanation:
There are two ways to do this. You could use the Pythagorean Theorem because you are given that the triangles are right angled triangles.
Method One
a^2 + b^2 = c^2
a = 5
b = 12
c = ?
c^2 = 5^2 + 12^2
c^2 = 25 + 144
c^2 = 169
sqrt(c^2) = sqrt(169)
c = 13
x = 13
Method Two
You can do this problem with similar triangles.
48/12 = 52/x Cross multiply
48x = 12 * 52 Combine the right
48x = 624 Divide by 48
48x/48 = 624/48 Do the division
x = 13
