A boda-boda travels 3km west and 4km south. What is the length of the shortcut path from home to school?

Here are the solutions for ITEM 2:

a) What is the length of the shortcut path from home to school?

Step 1: Identify the distances traveled.
The boda-boda travels 3km west and 4km south. These two distances form the perpendicular sides of a right-angled triangle, with the shortcut path being the hypotenuse.

Step 2: Use the Pythagorean theorem to find the length of the shortcut path.

$$\text{Shortcut path} = \sqrt{(\text{distance west})^2 + (\text{distance south})^2}$$ $$\text{Shortcut path} = \sqrt{(3 \text{ km})^2 + (4 \text{ km})^2}$$ $$$$