ms. p gave us a ? that was a right angle triangle & 1 side was "15ft" and the other side was"9ft".then she told us the answer was "67ft" and she told us we had to figure out how she got the answer.
What question does "67 feet" answer?
If the two sides (not the hypotenuse) are 9 and 15, the hypotenuse is sqrt(9^2 + 15^2) = 17.49 ft.
If the hypotenuse is 15 and one of the two sides is 9, the other side is sqrt(15^2 - 9^2) = 12 ft.
67 ft. is not the answer.
To find out how Ms. P got the answer of 67ft, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, one side of the right-angled triangle is 15ft, and the other side is 9ft. Let's call the hypotenuse "c". According to the Pythagorean theorem:
c^2 = a^2 + b^2
where "a" is the length of one side and "b" is the length of the other side.
Plugging in the values, we have:
c^2 = 15^2 + 9^2
c^2 = 225 + 81
c^2 = 306
To find the length of the hypotenuse, we need to take the square root of both sides:
c = √306
Using a calculator, we find that √306 is approximately 17.53.
Therefore, the length of the hypotenuse, or the missing side of the right-angled triangle, is around 17.53ft, not 67ft.
To figure out how Ms. P got the answer, we can use a concept called the Pythagorean theorem. The Pythagorean theorem states that in a right angle triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a right angle triangle with two sides given: one side is 15ft and the other side is 9ft. We need to find the length of the hypotenuse (the side opposite the right angle).
To solve this, we can use the Pythagorean theorem:
c^2 = a^2 + b^2
Here, c represents the length of the hypotenuse, a represents the length of one side (15ft), and b represents the length of the other side (9ft).
Plugging in the values, we get:
c^2 = 15^2 + 9^2
Simplifying further:
c^2 = 225 + 81
c^2 = 306
Now, to find the value of c, we need to take the square root of both sides:
c = √306
Calculating the square root of 306 gives us approximately 17.5ft, not 67ft. However, since you mentioned that Ms. P said the answer was 67ft, it's possible that there was either a mistake in the question or a miscommunication. It's important to clarify with Ms. P to ensure we have the correct information.