Question

Finding the missing side of the right triangle. Round your answer to the nearest tenth. Click Here for Help Video.



222


191919


x=x=x=

70

Answer 1

The leg is 19 and the other leg is 2 we are trying to figure out the Hypotenuse which is x

Answer 2

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

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

where \( c \) is the hypotenuse (the longest side of the triangle) and \( a \) and \( b \) are the other two sides.

From your input, it looks like we have a right triangle with:

- One side \( a = 70 \) (one of the legs)
- The hypotenuse \( c = 222 \)

We need to find the missing side \( b \).

Using the Pythagorean theorem:

\[ 70^2 + b^2 = 222^2 \]

Calculating \( 70^2 \) and \( 222^2 \):

\[ 70^2 = 4900 \]

\[ 222^2 = 49284 \]

Now substitute back into the equation:

\[ 4900 + b^2 = 49284 \]

Now solve for \( b^2 \):

\[ b^2 = 49284 - 4900 \]

\[ b^2 = 44384 \]

Now take the square root to find \( b \):

\[ b = \sqrt{44384} \]

Calculating the square root:

\[ b \approx 210.6 \]

So the length of the missing side \( b \) is approximately **210.6**.

Answer 3

To find the hypotenuse \( x \) of a right triangle where the legs are \( a = 19 \) and \( b = 2 \), we can again use the Pythagorean theorem:

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

In this case, \( c \) is the hypotenuse \( x \). Plugging in the values:

\[
19^2 + 2^2 = x^2
\]

Calculating \( 19^2 \) and \( 2^2 \):

\[
19^2 = 361
\]
\[
2^2 = 4
\]

Now, substitute these back into the equation:

\[
361 + 4 = x^2
\]

Add the values:

\[
365 = x^2
\]

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

\[
x = \sqrt{365}
\]

Calculating the square root:

\[
x \approx 19.1
\]

So the length of the hypotenuse \( x \) is approximately **19.1** when rounded to the nearest tenth.