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?
13
13√3
13√2
26

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 \(a\), and the hypotenuse be \(c\). The ratio of sides is \(a:a:c = 1:1:\sqrt{2}\).

Step2: Find the other leg

Since one leg is \(13\), the other leg (by the property of \(45 - 45-90\) triangle, legs are equal) is also \(13\).

Step3: Find the hypotenuse

Using the formula \(c=a\sqrt{2}\) (where \(a = 13\)), we get \(c = 13\sqrt{2}\).

Answer:

The two missing side lengths (the other leg and the hypotenuse) are \(13\) and \(13\sqrt{2}\) respectively. So, drag \(13\) to the un - labeled leg and \(13\sqrt{2}\) to the hypotenuse.