Name the type of triangle formed by the point | vedclass

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(C) To determine the type of triangle,we calculate the lengths of all three sides using the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2

Vedclass · Accepted Answer

Scalene triangle

Vedclass · Answer

(C) To determine the type of triangle,we calculate the lengths of all three sides using the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.$1$. Length of side $AB$:$AB = \sqrt{(-4 - (-5))^2 + (-2 - 6)^2} = \sqrt{(1)^2 + (-8)^2} = \sqrt{1 + 64} = \sqrt{65}$ units.$2$. Length of side $BC$:$BC = \sqrt{(7 - (-4))^2 + (5 - (-2))^2} = \sqrt{(11)^2 + (7)^2} = \sqrt{121 + 49} = \sqrt{170}$ units.$3$. Length of side $CA$:$CA = \sqrt{(-5 - 7)^2 + (6 - 5)^2} = \sqrt{(-12)^2 + (1)^2} = \sqrt{144 + 1} = \sqrt{145}$ units.Since $AB 
eq BC 
eq CA$,all three sides have different lengths.Therefore,the triangle formed by these points is a scalene triangle.

Name the type of triangle formed by the points $A (-5, 6)$,$B (-4, -2)$,and $C (7, 5)$.

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