please help me yall A coordinate grid is used to make a map of the park. The location of the drinking fountain is
(-4, 2); the location of the bench is (0, 2) ; and the location of the center of the slide is (0, 5).
(a) What is the distance from the drinking fountain to the bench? What is the distance from the bench to the center of the slide? Explain your reasoning.
(b) What type of triangle is created by the three locations? Explain.

(a)4 units, 3 units

(b) Right-angled triangle

Step-by-step explanation:

We are given that

Let location of drinking  fountain, A =(-4,2)

Location of the bench, B=(0,2)

Location of the center of the slide ,C=(0,5)

a. Distance formula

Using the formula

units

Hence, the distance from the drinking fountain to the bench=4 units

The distance from the bench to the center of the slide=3 units

(b)

units

The triangle ABC satisfied the Pythagoras  theorem. Hence, the triangle ABC is a right angled triangle.