If a triangle has sides of length 12 and 16, how long is the hypotenuse?(1 point)
To find the length of the hypotenuse of 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 two sides are 12 and 16. So, the length of the hypotenuse is:
√(12^2 + 16^2)
= √(144 + 256)
= √400
= 20
Therefore, the length of the hypotenuse is 20 units. Answer: \boxed{20}.
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's label the two sides of the triangle as a and b, and the hypotenuse as c. In this case, we have a = 12 and b = 16.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:
c^2 = a^2 + b^2
c^2 = 12^2 + 16^2
c^2 = 144 + 256
c^2 = 400
Taking the square root of both sides, we have:
c = √400
c = 20
Therefore, the length of the hypotenuse is 20 units.
To find the length of the hypotenuse of a triangle, we can use the Pythagorean theorem. The Pythagorean theorem 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, we have a triangle with sides of length 12 and 16. Let's call the hypotenuse "c", and the other two sides "a" and "b". According to the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Plugging in the values we have:
c^2 = 12^2 + 16^2
Simplifying:
c^2 = 144 + 256
c^2 = 400
To find the length of the hypotenuse, we need to take the square root of both sides:
c = sqrt(400)
Evaluating the square root:
c = 20
Therefore, the length of the hypotenuse is 20 units.