Question
What is the length of the unknown leg of the right triangle?
2 ft
1 ft
(The figure is not drawn to scale.)
Question content area bottom
Part 1
The length of the unknown leg of the right triangle is
enter your response here ft.
(Round to one decimal place as needed.)
2 ft
1 ft
(The figure is not drawn to scale.)
Question content area bottom
Part 1
The length of the unknown leg of the right triangle is
enter your response here ft.
(Round to one decimal place as needed.)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the length of the unknown leg in a right triangle, we can use the Pythagorean theorem:
\[
a^2 + b^2 = c^2
\]
where \( a \) and \( b \) are the lengths of the legs, and \( c \) is the hypotenuse.
From your description, it seems we know one leg is 2 ft, and the other leg is 1 ft. If we are finding the hypotenuse, we can plug in those values:
Let \( a = 1 \) ft, \( b = 2 \) ft, and we are looking for \( c \).
\[
1^2 + 2^2 = c^2
\]
\[
1 + 4 = c^2
\]
\[
5 = c^2
\]
\[
c = \sqrt{5} \approx 2.2 \text{ ft}
\]
If you're looking for the other leg (let's assume we know the hypotenuse is longer), we can denote the unknown leg as \( x \):
Given that the hypotenuse is 2 ft, we can write:
\[
x^2 + 1^2 = 2^2
\]
\[
x^2 + 1 = 4
\]
\[
x^2 = 4 - 1
\]
\[
x^2 = 3
\]
\[
x = \sqrt{3} \approx 1.7 \text{ ft}
\]
If you need a specific calculation or interpretation, please clarify!
\[
a^2 + b^2 = c^2
\]
where \( a \) and \( b \) are the lengths of the legs, and \( c \) is the hypotenuse.
From your description, it seems we know one leg is 2 ft, and the other leg is 1 ft. If we are finding the hypotenuse, we can plug in those values:
Let \( a = 1 \) ft, \( b = 2 \) ft, and we are looking for \( c \).
\[
1^2 + 2^2 = c^2
\]
\[
1 + 4 = c^2
\]
\[
5 = c^2
\]
\[
c = \sqrt{5} \approx 2.2 \text{ ft}
\]
If you're looking for the other leg (let's assume we know the hypotenuse is longer), we can denote the unknown leg as \( x \):
Given that the hypotenuse is 2 ft, we can write:
\[
x^2 + 1^2 = 2^2
\]
\[
x^2 + 1 = 4
\]
\[
x^2 = 4 - 1
\]
\[
x^2 = 3
\]
\[
x = \sqrt{3} \approx 1.7 \text{ ft}
\]
If you need a specific calculation or interpretation, please clarify!
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