find the length of the third side. if necessary, write in simplest radical form.\nanswer attempt 1 out of…

find the length of the third side. if necessary, write in simplest radical form.\nanswer attempt 1 out of 2\nsubmit answer
Answer
Explanation:
Step1: Identify the theorem
Use Pythagorean theorem (a^{2}+b^{2}=c^{2}) for right - triangle.
Step2: Determine the sides
Let (a = 7), (b=9), and we want to find the hypotenuse (c). [c=\sqrt{a^{2}+b^{2}}=\sqrt{7^{2}+9^{2}}]
Step3: Calculate the squares
[7^{2}=49], [9^{2}=81]. [c=\sqrt{49 + 81}=\sqrt{130}]
Answer:
(\sqrt{130})