Question

Find the length of the hypotenuse of a triangle if the lengths of the legs are known.
Step 1: identify the legs and hypotenuse of the right triangle
A = 6
B =8
C =


A ?
B 8
C 6

Answer 1

In a right triangle, the hypotenuse is the side opposite the right angle and is the longest side of the triangle. The legs are the two other sides. In this case, you've provided the lengths of the legs (A and B).

Given:
- Leg A = 6
- Leg B = 8

To find the length of the hypotenuse (C), you can use the Pythagorean theorem, which states:

\[ C^2 = A^2 + B^2 \]

Now, plug in the values:

\[ C^2 = 6^2 + 8^2 \]
\[ C^2 = 36 + 64 \]
\[ C^2 = 100 \]

Now, take the square root of both sides to find C:

\[ C = \sqrt{100} \]
\[ C = 10 \]

So, the length of the hypotenuse is **10**.