What type of triangle appears in the drawing?
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What type of triangle appears in the drawing?
Since we are given an angle of 45 and an angle of 90, we will refer to the triangle and calculate the missing angle based on the theorem that the sum of angles in a triangle equals 180 degrees.
Let's call this angle alpha:
Let's move the sides:
Looking at the second triangle, we notice that the angle adjacent to 90 will also be equal to 90 since it complements to 180 degrees.
Besides this, we don't have any more data, so we won't be able to calculate angles or determine the type of triangle.
It is not possible to calculate
In a right triangle, the side opposite the right angle is called....?
A 45° angle can appear in different triangle types! It could be part of a 45-45-90 right triangle, or combined with other angles to make acute or obtuse triangles. You need all three angles to classify.
You need either:
One angle alone is never enough!
Ask yourself: "Can I find all three angles or determine the triangle's shape with what I'm given?" If the answer is no, then there's insufficient information to classify the triangle.
State clearly that "It is not possible to determine the triangle type" or "Insufficient information provided." This shows you understand the problem and mathematical reasoning!
It could be, but we don't know for sure! A 45-45-90 triangle has a 45° angle, but so do other triangle types. Without more information, we cannot confirm it's a right triangle.
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