Question

Find the third side. answer : ____ meters

Answer 1

Answer:

12

Step-by-step explanation:

We can use the Pythagorean Theorem! Which is:

c² = a² + b²

But we need to find the length of an alternate leg while we already know the hypotenuse, so rearrange the equation:

b² = c² - a²

Now fill in the missing numbers.

b² = 15² - 9²

b² = 225 - 81

b² = 144

b = 12

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Answer 2

To find a side of a right triangle, you need to remember a^2 + b^2 = c^2

The bottom is a, left side is b, and the right side is c. Since there is nothing for a, that’s the number that we need to solve for, which would mean that we need to make it alone.

Subtract the term b2 - a2 + b2 - b2 = c2 - b2

We’re now left with a2 = c2 - b2

So when we substitute it, it becomes - a2 = 15^2 - 9^2

Simplify - a2 = 225 - 81

a2 = 144

Square it and then it becomes a = 12.