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, you need a right triangle. The 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.
Let's assume that the unknown side length is represented by "x" and the other two known side lengths are represented by "a" and "b". The Pythagorean Theorem can be written as:
x^2 = a^2 + b^2
To find the unknown side length, follow these steps:
1. Identify the lengths of the known side lengths (a and b) in the given triangle.
2. Square the lengths of both known side lengths (a^2 and b^2).
3. Add the squared lengths of the known side lengths (a^2 + b^2).
4. Take the square root of the sum to find the length of the unknown side (x).
Finally, round your answer to the nearest tenth.
To apply the Pythagorean Theorem to find the unknown side length in a right triangle, you'll need to know the lengths of the other two sides.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's label the sides:
- A is the length of one side
- B is the length of another side
- C is the length of the hypotenuse (the unknown side)
To find the length of the unknown side (C), you would use the formula:
C² = A² + B²
Once you have the equation, you can solve it to find the value of C.
Now, if you have the values for A and B, you can plug them into the equation and solve for C.