SOLUTION: determine whether a triangle with the given vertices is a right triangle
D (6,4),E (9,10),F(-2,8)
J (1,11),K (-1,-3), L(-7,5)
A (-7,2),B(-3,10) C(0,-2)
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-> SOLUTION: determine whether a triangle with the given vertices is a right triangle
D (6,4),E (9,10),F(-2,8)
J (1,11),K (-1,-3), L(-7,5)
A (-7,2),B(-3,10) C(0,-2)
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Question 1144139: determine whether a triangle with the given vertices is a right triangle
D (6,4),E (9,10),F(-2,8)
J (1,11),K (-1,-3), L(-7,5)
A (-7,2),B(-3,10) C(0,-2) Answer by ikleyn(52879) (Show Source):
The simplest way - requiring minimum calculations - is to calculate three slopes for every side of the triangle
and to check if there are two values of the slopes that are inversely opposite.
If you find such a pair, it means that the corresponding sides are perpendicular.
I will do it for you for the first three points.
slope(DE) = = = 2.
Slope(DF) = = = = .
(!) Stop at this point (!)
Slope(DE) has inversely opposite value "2" to slope(DF) value of " ".
Hence, the side DE is perpendicular to side DF.
