Question

what is the length of the side opposite ∠b?
3 units
4 units
5 units
6 units
(there is a right triangle abc with right angle at c, ac=4, bc=3, ab=5)

Explanation:

Step1: Identify the triangle and angle

We have a right - triangle \( \triangle ABC \) with \( \angle C = 90^{\circ} \). We need to find the length of the side opposite \( \angle B \).
In a triangle, the side opposite an angle is the side that does not form the angle. For \( \angle B \), the sides forming \( \angle B \) are \( BC \) and \( AB \), so the side opposite \( \angle B \) is \( AC \).

Step2: Determine the length of \( AC \)

From the diagram, we can see that the length of \( AC \) is given as 4 units.

Answer:

4 units (corresponding to the option "4 units")