Question

question 5 (multiple choice worth 1 points) (05.01r mc) find the value of x 10 6√2 5√3 5

Explanation:

Step1: Identify the triangle type

This is a \(45 - 45-90\) right - triangle. In a \(45 - 45-90\) triangle, the legs are equal.

Step2: Apply the property

Let the legs be \(a\) and \(a\) (here one leg is \(5\) and the other is \(x\)). For a \(45 - 45-90\) triangle, the ratio of the sides is \(1:1:\sqrt{2}\). Since the two legs are equal in length in a \(45 - 45-90\) triangle, if one leg is \(5\), then \(x = 5\).

Answer:

\(x = 5\) (corresponding to the option \(5\))