Write the name of a triangle with the vertices (1, -3), (...
Write the name of a triangle with the vertices (1, -3), (6, 2) and (0,4)?
Scalene triangle
Isosceles triangle
Right -angle triangle
Equilateral triangle
Correct answer is B
Let A = (1, -3), B = (6, 2) and C = (0,4)
d=√(y2−y1)2+(x2−x1)2
|AB| = √(2−(−3))2+(6−1)2
= √(2+3)2+(6−1)2
= √52+52
= √25+25
= √50
= 5√2 units
|BC| = √(4−2)2+(0−6)2
= √22+(−6)2
= √4+36
= √40
= 2√10 units
|AC| = √(4−(−3)2+(0−1)2
= √(4+3)2+(0−1)2
= √72+(−1)2
= √49+1
= √50
= 5√2 units
Since two sides are equal (|AB| = |AC|), then the triangle is Isosceles.
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