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No. An isoscles triangle is any triangle with two equal sides ... which means it's
going to have two equal angles, but they don't have to be any particular number.
The only requirement on the angles in the triangle is that all three of them must
add up to 180 degrees.
45-45-90 is an isosceles right triangle, and there are an infinite number of other
isosceles triangles that have no 90-degree angle in them.
You could have a very tall isosceles triangle sitting on a very skinny base, where
the two angles on the base are both 89 degrees, and the one way up at the top
is 2 degrees.
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An equilateral triangle is always an isosceles triangle?
Yes.
Is a triangle with two congruent angles always a 45-45-90 triangle?
No because an isosceles triangle has various two congruent angles. A 45-45-90 triangle is technically an isosceles triangle.
Can the altitude from the vertex angle of an isosceles triangle be the median?
If the triangle is really isosceles, and it's not lying on one of the equal sides, then the altitude is always a median.
Is an isosceles right triangle always a 45 45 90 triangle?
Not always because it could be a 50 50 80 triangle
Is equilateral triangle always an isosceles triangle?
If an isosceles triangle is defined as one which has two sides (or angles) equal, then YES. But if an isosceles triangle is defined as one which has two sides (or angles) equal, and the third side (angle) different, then NO.
