Question 593538
a triangle has vertex coordinates (1,1), (1,5) and (5,3). find the length of each side and decide what type of triangle it is.
Using distance formula: d^2=(x1-x2)^2+(y1-y2)^2
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Between (1,1) and (1,5)
d^2=(1-1)^2+(5-1)^2=0+16=16
d=4
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Between (1,5) and (5,3)
d^2=(5-1)^2+(3-5)^2=16+4=20
d=√20
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Between (5,3) and (1,1)
d^2=(5-1)^2+(3-1)^2=16+4=20
d=√20
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This is an isosceles triangle with two of the sides=√20 and the third side=4