You are given the coordinates of three points that are the vertices of a triangle. you need to determine if the triangle is a right triangle. explain how you could determine this.

Let A, B, C be the three points. Let

be the slopes of the lines AB, BC and AC, respectively. We can compute those slopes using the "rise over run" formula:

Now, the triangle is a right triangle if and only if two of its sides are perpendicular. And two lines are perpendicular if and only if their slopes are in the following relationship:

So, all you need to to is to find the slope of the three sides (by dividing the difference between the y and x coordinates), and then check all the pairs: if a pair of slopes give -1 when multiplied, then the triangle is a right triangle.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.