Answer:
√97 units
Step-by-step explanation:
AB represents the largest side of the triangle so in order to solve for that side, use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
where a = height b = base and c = the largest side
Step 1. Find the length of AC (represented as a)
Answer: 9 units
Explanation: either count how many units or use the distance formula
Step 2. Find the length of CB (represented as b)
Answer: 4 units
Explanation: either count how many units or use the distance formula
Step 3. Substitute a for 9 and b for 4 units in Pythagorean Theorem
9^2 + 4^2 = c^2
Step 4. Simplify the exponents
81 + 16 = c^2
Step 5. Solve for c^2
c^2 = 81 + 16
c^2 = 97
Step 6. Square root c^2
c = √97
