Could the points (-4, 3), (-1, 1), and (1, 3) form the vertices of a right triangle? Why or why not?

A = ( − 4 , 3 ) , B = ( − 1 , 1 ) , C = ( 1 , 3 ) ∣ A B ∣ = ( − 4 + 1 ) 2 + ( 3 − 1 ) 2 ​ = 9 + 4 ​ = 13 ​ ∣ BC ∣ = ( − 1 − 1 ) 2 + ( 1 − 3 ) 2 ​ = 4 + 4 ​ = 8 ​ ∣ A C ∣ = ( − 4 − 1 ) 2 + ( 3 − 3 ) 2 ​ = 25 + 0 ​ = 5 L = 13 ​ 2 + 8 ​ 2 = 13 + 8 = 21  = 5 2  = R
It's impossible to form right triangle using thes points.

Answered by marmal | 2024-06-10

The given points of triangle do not form a right triangle because they are satisfying the property of right angle triangle. ;

Answered by tardymanchester | 2024-06-24

The points (-4, 3), (-1, 1), and (1, 3) do not form a right triangle. The squared length of the longest side (25) does not equal the sum of the squares of the other two sides (21). Therefore, they do not satisfy the Pythagorean theorem required for a right triangle.
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Answered by tardymanchester | 2024-10-15