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Special Triangles

Problems

Right Triangles

The Pythagorean Theorem

Problem : The legs of a right triangle are both of length 2. How long is the hypotenuse?

Problem : Decide whether the triangle below is a 30-60-90 triangle, a 45-45-90 triangle, a right triangle with different angle measures than these, or not a right triangle at all.

30-60-90 triangle

Problem : Decide whether the triangle below is a 30-60-90 triangle, a 45-45-90 triangle, a right triangle with different angle measures than these, or not a right triangle at all.

45-45-90 triangle

Problem : Decide whether the triangle below is a 30-60-90 triangle, a 45-45-90 triangle, a right triangle with different angle measures than these, or not a right triangle at all.

Right triangle

Problem : Decide whether the triangle below is a 30-60-90 triangle, a 45-45-90 triangle, a right triangle with different angle measures than these, or not a right triangle at all.

Unknown. If x = 45 degrees, then it is a 45-45-90 triangle. If x does not equal 45 degrees, then it is not a right triangle.

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