Question

Finding the missing side of the right triangle. Click Here for Help Video.



656565
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Answer 1

The Leg is 65 and the other leg is x and the other thing is 97

Answer 2

To find the missing side of a right triangle, you can use the Pythagorean theorem, which states that:

\[ a^2 + b^2 = c^2 \]

where:
- \( a \) and \( b \) are the lengths of the two legs of the triangle,
- \( c \) is the length of the hypotenuse (the side opposite the right angle).

If you have two sides of a right triangle and you're looking for the length of the third side, follow these steps:

1. **Identify your sides**: Determine which sides are known and which one is missing. If you're trying to find a leg's length (\( a \) or \( b \)), make sure you have the hypotenuse (\( c \)) and the other leg.

2. **Rearrange the formula**:
- If you're looking for a leg: \( a^2 = c^2 - b^2 \)
- If you're looking for the hypotenuse: \( c^2 = a^2 + b^2 \)

3. **Plug in known values**: Substitute the known lengths into the equation.

4. **Calculate**: Solve for the unknown side, taking the square root of the result if necessary.

If you provide the known lengths, I can help you with the calculations!

Answer 3

To find the missing leg \( x \) of the right triangle where one leg is 65 and the hypotenuse is 97, you can use the Pythagorean theorem as follows:

The formula is:

\[
a^2 + b^2 = c^2
\]

Where:
- \( a \) is one leg (65),
- \( b \) is the other leg (which is \( x \)),
- \( c \) is the hypotenuse (97).

Substituting the values into the equation:

\[
65^2 + x^2 = 97^2
\]

Calculating the squares:

\[
4225 + x^2 = 9409
\]

Now, isolate \( x^2 \):

\[
x^2 = 9409 - 4225
\]

Perform the subtraction:

\[
x^2 = 5184
\]

Now, take the square root of both sides to find \( x \):

\[
x = \sqrt{5184}
\]

Calculating the square root:

\[
x = 72
\]

So, the missing leg \( x \) is 72.