Question

ex.2: what is the length of each side?opposite side =adjacent side =hypotenuse =opposite side =adjacent side =hypotenuse =

Explanation:

Step1: Identify sides for first triangle

For the first right - triangle with sides \(3\), \(4\), \(5\) and angle \(\theta\). The side opposite to \(\theta\) is \(3\) (the side that does not form the angle \(\theta\) except for the right - angle side). The side adjacent to \(\theta\) is \(4\) (the non - hypotenuse side that forms the angle \(\theta\)). The hypotenuse is \(5\) (the longest side of the right - triangle).

Step2: Identify sides for second triangle

For the second right - triangle with sides \(1\), \(2\), \(\sqrt{5}\) and angle \(\theta\). The side opposite to \(\theta\) is \(2\) (the side that does not form the angle \(\theta\) except for the right - angle side). The side adjacent to \(\theta\) is \(1\) (the non - hypotenuse side that forms the angle \(\theta\)). The hypotenuse is \(\sqrt{5}\) (the longest side of the right - triangle).

Answer:

For the first triangle:
Opposite side \(=3\)
Adjacent side \(=4\)
Hypotenuse \(=5\)

For the second triangle:
Opposite side \(=2\)
Adjacent side \(=1\)
Hypotenuse \(=\sqrt{5}\)