Question

if W(-10,4), X(-3,-1), and Y(-5,11) classify ∆WYX by it's sides. show all work to justify your answer.​

Answer 1

The given triangle ∆WYX is isosceles triangle.

Explanation:

Given points are W(-10,4), X(-3,-1), and Y(-5,11) form triangle.

Distance between two points are given as

L=
`\sqrt{(X2-X1)^(2) + (Y2-Y1)^(2) }`

Now, Distance between W(-10,4) and X(-3,-1) is

WX=
`\sqrt{(X2-X1)^(2) + (Y2-Y1)^(2) }`

=
`\sqrt{((-3)-(-10))^(2) + ((-1)-(4))^(2) }`

=
`\sqrt{(7)^(2) + (-5)^(2) }`

=8.48

Now, Distance between W(-10,4) andY(-5,11) is

WY=
`\sqrt{(X2-X1)^(2) + (Y2-Y1)^(2) }`

=
`\sqrt{((-5)-(-10))^(2) + (11-4)^(2) }`

=
`\sqrt{(5)^(2) + (7)^(2) }`

=8.48

Now, Distance between X(-3,-1) andY(-5,11) is

XY=
`\sqrt{(X2-X1)^(2) + (Y2-Y1)^(2) }`

=
`\sqrt{((-5)-(-3))^(2) + (11-(-1))^(2) }`

=
`\sqrt{(-2)^(2) + (12)^(2) }`

=12.165

Since, WY=WX

The given triangle ∆WYX is isosceles triangle.