The length of the hypotenuse can be found to be the value of D. 12 √ 2 .
How to find the length of the hypotenuse ?
In a 45-45-90 right triangle, the two legs are congruent (they have the same length), and the hypotenuse is √2 times longer than each leg.
Given that each leg measures 12 cm, you can find the length of the hypotenuse as follows:
Hypotenuse = √2 x (length of each leg)
Hypotenuse = √2 x 12 cm
Now, calculate the length of the hypotenuse:
Hypotenuse = 12 * 1.4142 (approximate value of √2)
Hypotenuse =16.97 cm (rounded to two decimal places)
So, the length of the hypotenuse of the 45-45-90 right triangle is approximately 16.97 cm or 12 √ 2.