Math, asked by PSN2006, 1 year ago

The triangle formed by points (2,3) (5,4)(6,7) is​


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Answers

Answered by mujkh12
19

Answer:

Step-by-step explanation:

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Answered by yogeshgangwar044
2

Answer:

The triangle formed by points (2,3) (5,4)(6,7) is​ an isosceles triangle

Step-by-step explanation:

The coordinates of the given triangle are:

A(2,3), B(5,4), C(6,7)

To know the type of the given triangle, let us first find out the length of each side with the help of distance formula.

Distance formula for any two points (x_{1},y_{1}) and (x_{2},y_{2}) is

d = \sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}

Putting the vertex coordinates of the triangle, we get

AB = \sqrt{(4-3)^{2}+(5-2)^{2}} = \sqrt{1+9} = \sqrt{10}

BC = \sqrt{ (7-4)^{2}+(6-5)^{2} } = \sqrt{9 + 1} = \sqrt{10}

AC = \sqrt{(7-3)^{2}+(6-2)^{2}} = \sqrt{16 + 16} = \sqrt{32}

It is clear that,

AB = BC

Therefore, ΔABC is an isosceles triangle.

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