The coordinates of the vertices of ∆pqr are p(-2,5), q(-1,1), and r(7,3). determine whether ∆pqr is a right triangle. show your work and explain your answer!

Step 1

Plot the vertices of triangle PQR

using a graphing tool

see the attached figure

we know that the distance between two points is equal to

Step 2

Find the distance PR

substitute the values

Step 3

Find the distance QP

substitute the values

Step 4

Find the distance QR

substitute the values

Step 5

If triang;le PQR is a right triangle

then

Applying the Pythagorean Theorem

substitute the values

---------> is true

therefore

The answer is

The triangle PQR is a right triangle

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5