Since the angles in triangle ACM indicate that it is a 30-60-90 triangle, we know that the other two sides of triangle ACM are 20 and 10 (30-60-90 triangles have a very specific side coefficient). This means that the sides of this triangle have side lengths 40, 10, and 
. Adding these together you get 50+. Hope this helps!
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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.