Question

Find the unknown side length in the given triangle. Round to the nearest hundredth 20, 30, ?

Answer 1

To find the unknown side length in the triangle with the given sides of 20 and 30, we can assume we are dealing with a right triangle (if there is no further context). We can apply the Pythagorean theorem \( a^2 + b^2 = c^2 \).

Let's assume the unknown side is the hypotenuse \( c \).

1. Let \( a = 20 \) and \( b = 30 \).
2. Then, we can calculate \( c \):

\[
c = \sqrt{a^2 + b^2} = \sqrt{20^2 + 30^2}
\]

Calculating it step-by-step:

\[
20^2 = 400
\]
\[
30^2 = 900
\]
\[
c = \sqrt{400 + 900} = \sqrt{1300}
\]
\[
c \approx 36.06
\]

Thus, the unknown side length, rounded to the nearest hundredth, is approximately **36.06**.

If you meant the unknown side to be one of the legs of the triangle (let's call it \( x \)) given the other two sides, we can also investigate that case if needed. Please clarify if that's the case or if you have a different triangle type in mind!