no
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Yes under certain dimensional conditions.
Yes, any type of triangle or quadrilateral will tessellate.
yes you can tessellate a triangle and a pentagon together.
An acute triangle can be an isosceles triangle, but it doesn't have to be. An isosceles triangle can be an acute triangle, but it doesn't have to be.
A right triangle and an isosceles triangle have the fact that they are both triangles in common. A right triangle can also be an isosceles triangle.