Question

10
Prove that the points (3,0) (6,4) and (-1,3) are vertices of an isosceles triangle.
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Answer 1

Answer:

Given,

points (3,0) ,(6,4) (-1,3) are the vertices of a isosceles triangle.

Isosceles triangle have two sides of equal length we could use this property to prove it.

Using distance formula,

distance between (3,0) and (6,4) =

√[(6-3)^2 + (4-0)^2]

» Or, √(3^2 + 4^2)

or, √(9+16)

or,√25 = 5 units

distance between (3,0, and (-1,3) =

√[(3+1)^2 + (3-0)^2]

Or, √(4^2 + 3^2)

Or,√(16+9)

Or,√25 = 5 units

Therefore the given points are the vertices of a isosceles triangle.

Also refer :

https://brainly.in/question/1105446