Question

If a right triangle has a leg that is 20ft. long and the hypotenuse is 30ft. long, how long is the other leg? Round to the nearest tenth.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the lengths of the legs of the right triangle be a and b, and the length of the hypotenuse be c.

According to the Pythagorean theorem, in a right triangle:

a^2 + b^2 = c^2

Given that the length of one leg is 20 ft (a = 20) and the length of the hypotenuse is 30 ft (c = 30), we can substitute these values into the equation:

20^2 + b^2 = 30^2

400 + b^2 = 900

b^2 = 900 - 400
b^2 = 500
b = √500
b ≈ 22.4

Therefore, the length of the other leg is approximately 22.4 ft.

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's correct it:

Given that one leg of the right triangle is 20ft and the hypotenuse is 30ft, we can use the Pythagorean theorem to find the length of the other leg.

The Pythagorean theorem states: a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

So, substituting in the given values:
20^2 + b^2 = 30^2
400 + b^2 = 900
b^2 = 900 - 400
b^2 = 500
b = √500
b ≈ 22.36

Therefore, the length of the other leg is approximately 22.4ft.

Answer 4

bruh

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake again. Let's correct it:

Given that one leg of the right triangle is 20ft and the hypotenuse is 30ft, we can find the length of the other leg using the Pythagorean theorem.

Let's denote the length of the other leg as x.

We know that a = 20 and c = 30. Using the Pythagorean theorem:

a^2 + x^2 = c^2
20^2 + x^2 = 30^2
400 + x^2 = 900
x^2 = 900 - 400
x^2 = 500
x = √500
x ≈ 22.4

Therefore, the length of the other leg is approximately 22.4ft.