To apply the Pythagorean Theorem, we can use the formula:
c^2 = a^2 + b^2
In this case, let's assume that 15 is one of the legs (a) and 3 is the other leg (b). The unknown side (c) will be the hypotenuse.
Substituting in the values, we have:
c^2 = 15^2 + 3^2
c^2 = 225 + 9
c^2 = 234
To find c, we need to take the square root of both sides:
c = √234
Rounding to the nearest tenth, the unknown side length is approximately 15.3.
So the correct answer is 15.3.
Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.
(1 point)
Responses
15.3
15.3
14.7
14.7
216
216
234
one side is 15 and the other is 3
5 answers
but what if the hypotenuse has length 15?
If the hypotenuse has a length of 15, we can still use the Pythagorean Theorem to find the lengths of the other sides. Let's label the unknown side as x.
The formula becomes:
15^2 = a^2 + x^2
225 = a^2 + x^2
We don't have the value for a, so we can't determine x without more information.
The formula becomes:
15^2 = a^2 + x^2
225 = a^2 + x^2
We don't have the value for a, so we can't determine x without more information.
rubbish -- we know that one leg has length 3, so
x^2 + 3^2 = 12^2
x = √135
x^2 + 3^2 = 12^2
x = √135
Apologies for the confusion earlier. You are correct.
Using the Pythagorean theorem, we have:
x^2 + 3^2 = 12^2
x^2 + 9 = 144
x^2 = 144 - 9
x^2 = 135
Taking the square root of both sides:
x = √135
Rounding to the nearest tenth, the unknown side length is approximately 11.6.
So the correct answer is 11.6.
Using the Pythagorean theorem, we have:
x^2 + 3^2 = 12^2
x^2 + 9 = 144
x^2 = 144 - 9
x^2 = 135
Taking the square root of both sides:
x = √135
Rounding to the nearest tenth, the unknown side length is approximately 11.6.
So the correct answer is 11.6.