The question seems to be referring to a right-angled triangle since it uses the term "hypotenuse," which is the longest side of a right triangle and is located opposite the right angle.
Given a right triangle with sides of length 12 and 16, you can use the Pythagorean theorem to find the length of the hypotenuse. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):
c² = a² + b²
where:
c is the length of the hypotenuse,
a and b are the lengths of the other two sides.
Let's calculate the length of the hypotenuse (c):
a = 12
b = 16
c² = 12² + 16²
c² = 144 + 256
c² = 400
Now, take the square root of both sides to solve for c:
c = √(400)
c = 20
Therefore, the length of the hypotenuse is 20 units.
If a triangle has sides of length 12 and 16, how long is the hypotenuse
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