Question

Examine the right traingle.
48cm
17cm

What is the length of the hypotenuse?

A. \sqrt(4225) cm
B. 65 cm
C. \sqrt(2593) cm
D. 60 cm

Answer 1

To find the length of the hypotenuse in a right triangle with the other two sides measuring 48 cm and 17 cm, we can use the Pythagorean theorem, which states:

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

Where \(c\) is the length of the hypotenuse and \(a\) and \(b\) are the lengths of the other two sides.

Given:
- \(a = 48\) cm
- \(b = 17\) cm

Let's calculate:

\[
c^2 = 48^2 + 17^2
\]

Calculating \(48^2\):

\[
48^2 = 2304
\]

Calculating \(17^2\):

\[
17^2 = 289
\]

Now, summing these values:

\[
c^2 = 2304 + 289 = 2593
\]

Now, taking the square root to find \(c\):

\[
c = \sqrt{2593}
\]

Thus, the length of the hypotenuse is \(\sqrt{2593} \, \text{cm}\).

So the correct answer is:

**C. \(\sqrt{2593} \, \text{cm}\)**