Answer:
c=√130
Step-by-step explanation:
In order to solve this question, you have to know the Pythagorean Theorem. The Pythagorean Theorem uses this equation: a^2 + b^2 = c^2. The letters indicate one side of the triangle, but c is always the longest side of the triangle, or the hypotenuse. In the image, both of the triangles are the same size so we basically just have to solve for one. We plug in 9 for a and 7 for b in our equation we just learned.
a^2 + b^2 = c^2
9^2 + 7^2 = c^2
We have to square the 9 and 7. In order to do that, we just multiply 9 by itself, and 7 by itself (9*9, 7*7), because the small number on the right corner tells you how many times you have to multiply that number.
81 + 49 = c^2
Now we add them together and we get:
81 + 49 = 130
130 is our c^2, and that number goes into the green box in the image. The actual number is very long so we just use this number for your answer! Hope this helps :)
