Question

hypotenuse of a right triangle with legs 6 cm 10 cm

Answer 1

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

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

where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the legs.

In this case, the lengths of the legs are 6 cm and 10 cm. Plugging in these values:

\[
6^2 + 10^2 = c^2
\]

Calculating the squares:

\[
36 + 100 = c^2
\]

Adding these together:

\[
136 = c^2
\]

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

\[
c = \sqrt{136} \approx 11.66 \text{ cm}
\]

Thus, the length of the hypotenuse is approximately 11.66 cm.