Finding the missing side of the right triangle. Click Here for Help Video.12 35 5x=x=x=

1 answer

To find the missing side of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs (a and b) is equal to the square of the length of the hypotenuse (c):

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

From your message, it seems you have some values, but they're not clear. It appears like you might have two sides, 12 and 35, but the presentation of "5x=x=x=" is ambiguous.

Let's assume the following:

  1. The hypotenuse is 35.
  2. One leg (let's call it a) is 12.
  3. The other leg (let's call it b) is what we need to find.

Using the Pythagorean theorem:

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

Substituting in the known values:

\[ 12^2 + b^2 = 35^2 \] \[ 144 + b^2 = 1225 \] \[ b^2 = 1225 - 144 \] \[ b^2 = 1081 \] \[ b = \sqrt{1081} \] \[ b \approx 32.87 \]

So, the missing side of the right triangle is approximately 32.87. If the configuration of the triangle was different (if, for example, 12 or 35 was one of the legs), please provide the information accordingly, and I can help you solve it!