Verify if (3,6,9) , (10,20,30) , (25,-41,5) are the vertices of a righ

1.	Verify if (3,6,9) , (10,20,30) , (25,-41,5) are the vertices of a right triangle.•CLASS 11 •MATHS•3D geometry •using distance formula with explanation please!(don't answer if you don't know )
Answer» Step-by-step explanation: By distance formula, AB2 = (10 – 3)2 + (20 – 6)2 + (30 – 9)2 = 49 + 196 + 441 = 686 BC2 = (25 -10)2 + (- 41 – 20)2 + (5 – 30)2 = 225 + 3721 + 625 = 4571 CA2 = (3 – 25)2 + (6 + 41)2 + (9 – 5)2 = 484 + 2209 + 16 = 2709 We find that AB2 + CA2 ≠ BC2 (∵ 3395 ≠ 4571) ∴ ABC is not a RIGHT angled triangle.

Verify if (3,6,9) , (10,20,30) , (25,-41,5) are the vertices of a right triangle.•CLASS 11 •MATHS•3D geometry •using distance formula with explanation please!(don't answer if you don't know )

Answer»

Step-by-step explanation:

By distance formula, AB2 = (10 – 3)2 + (20 – 6)2 + (30 – 9)2 = 49 + 196 + 441 = 686 BC2 = (25 -10)2 + (- 41 – 20)2 + (5 – 30)2 = 225 + 3721 + 625 = 4571 CA2 = (3 – 25)2 + (6 + 41)2 + (9 – 5)2 = 484 + 2209 + 16 = 2709 We find that AB2 + CA2 ≠ BC2 (∵ 3395 ≠ 4571) ∴ ABC is not a RIGHT angled triangle.

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Verify if (3,6,9) , (10,20,30) , (25,-41,5) are the vertices of a right triangle.•CLASS 11 •MATHS•3D geometry •using distance formula with explanation please!(don't answer if you don't know ) ​

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Verify if (3,6,9) , (10,20,30) , (25,-41,5) are the vertices of a right triangle.•CLASS 11 •MATHS•3D geometry •using distance formula with explanation please!(don't answer if you don't know )