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Classify a triangle with angles 50, 60, 70

Step by step, with the reason for every step · Classifying angles and triangles · Geometry

Step by step

The question

Question: find what kind of triangle has angles 50°, 60°, 70°.

1 Find the biggest angle

The biggest angle is 70°.

Only the biggest angle decides the name.

70 is less than 90.

So all three angles are under 90°.

70 < 90

Careful!

For an acute triangle, even the biggest angle is under 90°.

Careful: acute: ALL three angles under 90°

2 Name it

So the triangle is acute.

triangle is acute

3 Check

Let's check: the angles must add up to 180°.

50 + 60 + 70 = 180

They do.

So it is a real triangle, and it is acute.

Let's look back.

First: find the biggest angle.

Then: name it.

Last: check.

Answer
triangle is acute

Your turn

Try this one yourself, then check:

What kind, by its angles?
Show the answer
acute

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