Question

what is the length of the hypotenuse

Answer 1

4 cm and 3 cm

Answer 2

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

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

where:
- \( c \) is the length of the hypotenuse,
- \( a \) and \( b \) are the lengths of the other two sides.

If you provide the lengths of the two sides \( a \) and \( b \), I can help you calculate the length of the hypotenuse \( c \).

Answer 3

To find the length of the hypotenuse \( c \) using the Pythagorean theorem, you can substitute the lengths of the two sides \( a \) and \( b \):

Given:
- \( a = 4 \, \text{cm} \)
- \( b = 3 \, \text{cm} \)

Using the formula:

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

Substituting the values:

\[
c^2 = 4^2 + 3^2
\]
\[
c^2 = 16 + 9
\]
\[
c^2 = 25
\]

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

\[
c = \sqrt{25}
\]
\[
c = 5 \, \text{cm}
\]

So, the length of the hypotenuse is **5 cm**.