Name the type of triangle formed by the points
Asked by admin @ in Math viewed by 289 People
Name the type of triangle formed by the points A (2,-2), B (-2, 1), C (5, 2). Justify your answer
Answered by admin @
The three vertices of the triangle are A(−5,6),B(−4,−2) and (7,5).
By distance formula, AB = [(x2−x1)2+(y2−y1)2]
AB = [(−4−(−5))2+(4−(−2−6))2]
AB = [(1)2+(−8)2]
AB = [1+64]
AB = 65
By distance formula, AC = [(x2−x1)2+(y2−y1)2]
AC = [(7−(−5))2+(5−6)2]
AC = [(12)2+(−1)2]
AC = 144+1]
AC = 145
By distance formula, BC = [(x2−x1)2+(y2−y1)2]
BC = [(7−(−4))2+(5−(−2))2]
BC = [(11)2+(7)2]
BC = [121+49]
BC = 170
Length of all sides of the triangle are different.
So ABC is a scalene triangle.
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