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

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})