What is the length of the hypotenuse? If necessary, round to the nearest tenth. The image shows a Right triangle with a length of 8 a height of 6.
To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem, which states that in a right 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, the length of the base or one of the legs is 8, and the height or the other leg is 6.
So, using the Pythagorean theorem, we have:
Hypotenuse^2 = Base^2 + Height^2
Hypotenuse^2 = 8^2 + 6^2
Hypotenuse^2 = 64 + 36
Hypotenuse^2 = 100
Taking the square root of both sides to solve for the hypotenuse, we get:
Hypotenuse = √100
Hypotenuse = 10
Therefore, the length of the hypotenuse is 10.
The image shows a right triangle with a width of 20 cm and a height of 12 cm. Whats the length length?
To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem, which states that in a right 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, the width or one of the legs is 20 cm, and the height or the other leg is 12 cm.
So, using the Pythagorean theorem, we have:
Hypotenuse^2 = Width^2 + Height^2
Hypotenuse^2 = 20^2 + 12^2
Hypotenuse^2 = 400 + 144
Hypotenuse^2 = 544
Taking the square root of both sides to solve for the hypotenuse, we get:
Hypotenuse = √544
Hypotenuse ≈ 23.3
Therefore, the length of the hypotenuse approximates to 23.3 cm.
U sure?
Apologies for the incorrect response earlier. Let's re-calculate the length of the hypotenuse correctly using the given dimensions of the triangle.
Given that the width or one of the legs is 20 cm, and the height or the other leg is 12 cm, we can apply the Pythagorean theorem as follows:
Hypotenuse^2 = Width^2 + Height^2
Hypotenuse^2 = 20^2 + 12^2
Hypotenuse^2 = 400 + 144
Hypotenuse^2 = 544
Now, let's calculate the square root of both sides to solve for the hypotenuse:
Hypotenuse = √544
Hypotenuse ≈ 23.32
Therefore, the length of the hypotenuse approximates to 23.32 cm when rounded to the nearest hundredth.
I'm looking for the missing length, not the volume
Apologies for the confusion. To clarify, you are looking for the length of one of the sides (not the hypotenuse) of the right triangle, given a width of 20 cm and a height of 12 cm.
In a right triangle, the two legs are the sides that are not the hypotenuse. To find the length of one of the legs, we can use the Pythagorean theorem:
Leg^2 = Hypotenuse^2 - Height^2
Since we know the height is 12 cm and want to find the length of the missing side, let's substitute these values into the equation:
Leg^2 = Hypotenuse^2 - 12^2
Leg^2 = Hypotenuse^2 - 144
However, we don't have the length of the hypotenuse given in this problem, so we can't calculate the length of the missing side without that information.