Classifying Triangles by Angles

There are 4 classifications of triangles by angles. You are probably familiar with them, but glance at the following applets if you need a reminder.

Acute Triangles

As you drag point B, notice the angles of the triangle. Acute triangles have angles with measures that are...

Select all that apply

A
all less than 90 degrees
B
sometimes less than 90 degrees
C
one angle greater than 90 degrees

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Obtuse Triangles

You just looked at this triangle, but we can learn about obtuse triangles from it. Angle B is the key. What do you need to remember about obtuse triangles?

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Right Triangles

For this triangle, you can drag the slider to enlarge the triangle or the blue dot to change the shape.

Right Triangles

Observe what stays the same no matter what changes you make. A right triangle, then must have...

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Drag the blue point on the triangle until you have two sides that have the same length. This triangle has a special name: isosceles right triangle. What would be the measures of the other two angles for all isosceles right triangles?

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And the last one for today is another that you have already seen.

Equiangular Triangle

So, as you have probably already determined, an equiangular triangle is also an equilateral triangle. All equiangular triangles have all angles that measure ___________ degrees.

Classifying Triangles by Angles

Acute Triangles

Acute Triangles

Obtuse Triangles

Right Triangles

Right Triangles

Equiangular Triangle

Equiangular Triangle

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