Answer:
a = 11 2/3
Step-by-step explanation:
The pythagorean theorem is a^2+b^2=c^2.
We are given the value of b and c.
a^2 + 4^2 = 12 1/3^2 (Substitute the numbers into the variables)
a^2 + 16 = 152 1/9 (Square the numbers)
a^2 = 136 1/9
a^2 = 11 2/3 (Find the square root)
Find Square Root:
136 1/9 = 1225/9
(√136 1/9) = (√1225)/(√9)
35/(√9) (Find square root of 1225)
35/3 (Find square root of 9)
35/3 = 11 2/3 (Simplify)
Hoped I've helped! Good Luck!
