To find the length of the hypotenuse in a right triangle when the lengths of the two other sides (legs) are given, you can use the Pythagorean theorem, which is formulated as:
\[ c = \sqrt{a^2 + b^2} \]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
Given:
- \( a = 1.4 \)
- \( b = 6.2 \)
First, calculate \( a^2 \) and \( b^2 \):
\[ a^2 = (1.4)^2 = 1.96 \] \[ b^2 = (6.2)^2 = 38.44 \]
Next, add these two values together:
\[ a^2 + b^2 = 1.96 + 38.44 = 40.4 \]
Now, take the square root to find the hypotenuse \( c \):
\[ c = \sqrt{40.4} \approx 6.36 \]
Finally, round to the nearest tenth:
\[ c \approx 6.4 \]
So, the length of the hypotenuse is approximately 6.4.