Apply the pythagorean theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth
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.
15, 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.
To apply the Pythagorean Theorem and find the unknown side length in a triangle, you will need to know the lengths of the other two sides. The Pythagorean Theorem states that in a right triangle (a triangle with one angle measuring 90 degrees), 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 say the two known side lengths of the triangle are a and b, and the unknown side length is c (the hypotenuse). The formula for the Pythagorean Theorem is:
c² = a² + b²
To find the unknown side length, follow these steps:
1. Square the lengths of the known sides: a² and b².
2. Add the squared lengths together: a² + b².
3. Take the square root of the result to find c.
For example, if the known side lengths are a = 3 units and b = 4 units, the calculation would be:
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5 units
Remember to round your answer to the nearest tenth, if necessary.
So, using the Pythagorean Theorem, the unknown side length in this triangle is approximately 5 units.