Question
15 length and cm hight
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c =__ centimeters
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c =__ centimeters
Answers
GPT-4o mini
To find the length of the hypotenuse of 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, and \( a \) and \( b \) are the lengths of the other two sides.
Assuming the length of the base \( a \) is 15 cm and the height \( b \) is also 15 cm (which is common in these cases unless stated otherwise), we can substitute into the equation:
\[
c^2 = 15^2 + 15^2
\]
\[
c^2 = 225 + 225
\]
\[
c^2 = 450
\]
\[
c = \sqrt{450}
\]
Now, calculate \( \sqrt{450} \):
\[
c \approx 21.2 \text{ cm} \quad (\text{rounded to the nearest tenth})
\]
Therefore, the length of the hypotenuse \( c \) is approximately **21.2 centimeters**.
\[
c^2 = a^2 + b^2
\]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
Assuming the length of the base \( a \) is 15 cm and the height \( b \) is also 15 cm (which is common in these cases unless stated otherwise), we can substitute into the equation:
\[
c^2 = 15^2 + 15^2
\]
\[
c^2 = 225 + 225
\]
\[
c^2 = 450
\]
\[
c = \sqrt{450}
\]
Now, calculate \( \sqrt{450} \):
\[
c \approx 21.2 \text{ cm} \quad (\text{rounded to the nearest tenth})
\]
Therefore, the length of the hypotenuse \( c \) is approximately **21.2 centimeters**.