Use the Pythagorean theorem to find the missing hypotenuse.
The image shows a triangle with a height of 12cm and a width of 5cm.
To use the Pythagorean theorem, we need to know the lengths of two sides of a right triangle. In this case, the height and width of the triangle are given.
Let's denote the missing hypotenuse as c. According to the Pythagorean theorem, the sum of the squares of the two legs (height and width) is equal to the square of the hypotenuse.
So, we have:
12^2 + 5^2 = c^2
144 + 25 = c^2
169 = c^2
Taking the square root of both sides, we get:
c = √169
c = 13
Therefore, the missing hypotenuse is 13 cm.