Question

2.4 in length and 2.4 in height
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c =__ inches

Answer 1

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

\[ c = \sqrt{a^2 + b^2} \]

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

For your triangle, both sides are 2.4 inches. Plugging in the values:

\[ c = \sqrt{(2.4)^2 + (2.4)^2} \]
\[ c = \sqrt{5.76 + 5.76} \]
\[ c = \sqrt{11.52} \]
\[ c \approx 3.39 \]

Rounding to the nearest tenth, the length of the hypotenuse is approximately:

\[ c \approx 3.4 \, \text{inches} \]

So, you would fill in:

c = 3.4 inches