Question

Could someone answer the question with the photo linked below? Then explain how to solve it?

Answer 1

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 :)

Answer 2

Answer:

c = √130

Step-by-step explanation:

To solve for c we use the formula for Pythagoras theorem

That's

a² = b² + c²

Where a is the hypotenuse

From the question above

c is the hypotenuse

So we have

c² = 9² + 7²

c ² = 81 + 49

c² = 130

Find the square root of both sides

c = √130

Hope this helps you