Question

Apply the pythagorean theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth

Answer 1

15, 3, _

Answer 2

To apply the Pythagorean theorem, we need to have a right triangle, which is a triangle that has one angle equal to 90 degrees.

If we have a right triangle and we label the two legs (the sides that form the right angle) as a and b, and the hypotenuse (the side opposite the right angle) as c, then the Pythagorean theorem states that:

c^2 = a^2 + b^2

To find the unknown side length, we need to identify which side length is missing in the given triangle.

Please provide the side lengths of the triangle, and denote the missing side length as the unknown variable.

Answer 3

To apply the Pythagorean theorem in this case, we can label the missing side length as the unknown variable, which we'll call "x". The other two side lengths are given as 15 and 3.

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 lengths of the other two sides.

Using this, we can write the equation:

x^2 = 15^2 + 3^2

Simplifying:

x^2 = 225 + 9

x^2 = 234

To find the value of x, we take the square root of both sides:

sqrt(x^2) = sqrt(234)

x = sqrt(234)

Rounded to the nearest tenth, x is approximately 15.3.