The Pythagorean theorem part 1 find the length of the missing side of the right triangle?

Given: a = 3, b = 4

Answer: c = 5

To find the length of the missing side of a right triangle using the Pythagorean theorem, you need to know the lengths of the other two sides. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's denote the lengths of the two known sides as a and b, and the length of the missing side as c. If a and b are the legs of the right triangle, then c is the hypotenuse.

The Pythagorean theorem equation is:
c^2 = a^2 + b^2

To find the length of the missing side, you need to rearrange the equation and solve for c:

c = √(a^2 + b^2)

In this equation, the square root (√) gives you the length of the missing side, c.

So, to find the length of the missing side, substitute the values of a and b into the equation, calculate a^2 + b^2, and then take the square root of the result. The final answer will give you the length of the missing side of the right triangle.

To find the length of the missing side of a right triangle using the Pythagorean theorem, you need to know the lengths of the other two sides. The Pythagorean theorem states that for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider the right triangle with sides a, b, and c, where c is the length of the hypotenuse. The Pythagorean theorem can be written as:

a^2 + b^2 = c^2

To find the length of the missing side, you need to know the lengths of the other two sides and then use the Pythagorean theorem to solve for the missing side.