On the coordinate plane shown below, points h and i have coordinates (-2,-3) and (3,2), respectively. on use the pythagorean theorem to determine the distance between points hand i on the coordinate plane.

Step-by-step explanation:

Here we are given two coordinates and we are required to fin d the distance between them not by using the distance formula but by using Pythagoras theorem.

Let us see how we do that.

We will take the help of graph in this. We draw a line parallel to x axis passing through H (-2,-3) and a vertical line passing through I(3,2)

Let us assume that these two lines intersect at point J whose coordinates will be (-3,-3)

Now using scale of the graph we can see that Distance HJ = 5 units and IJ= 5 units and ΔHIJ makes and Right angle triangle where ∠IJH = 90°

Hence we can apply Pythagoras theorem in this.

Please refer to graph in attachment for further clarification.

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)