Question

question 2 of 5
drag each length to the correct location on the triangle. each length can be used more than once, but not all lengths will be used.
what are the missing side lengths of the triangle?
12
12
12\sqrt{2}
12\sqrt{3}
24

Explanation:

Step1: Identify the triangle type

This is a 45 - 45 - 90 triangle. In a 45 - 45 - 90 triangle, the legs are equal. Let the legs be \(a\) and the hypotenuse be \(c\). Given one leg \(a = 12\).

Step2: Find the other leg

Since in a 45 - 45 - 90 triangle the legs are equal, the other leg is also \(12\).

Step3: Find the hypotenuse

The formula for the hypotenuse \(c\) of a 45 - 45 - 90 triangle is \(c=a\sqrt{2}\). Substituting \(a = 12\), we get \(c = 12\sqrt{2}\).

Answer:

The two legs are \(12\) and \(12\), and the hypotenuse is \(12\sqrt{2}\).