How to determine if a triangle is a right triangle with coordinates?

The answer in the procedure

Step-by-step explanation:

step 1

Find the length sides of the triangle

Given the coordinates

A(a1,a2), B(b1,b2) and C(c1,c2)

we know that

the formula to calculate the distance between two points is equal to

so

Calculate

dAB,dBC and dAC

substitute in the formula

step 2

Apply Pythagoras theorem

where

c is the greater side

a and b are the other two sides

substitute the distances in the equation

If the equation is true

therefore

Its a right triangle

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step-by-step explanation:

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