The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

Using the distance formula, we get

Similarly,

And,

Two sides of the triangle are equal, i.e., . So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

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step-by-step explanation: