IXL - Pythagorean Inequality Theorems (Geometry practice)

The sides of a triangle have lengths 6, 8, and 10. What kind of triangle is it?

acute

right

obtuse

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Learn with an example

The sides of a triangle have lengths 4, 5, and 5. What kind of triangle is it?

acute

right

obtuse

If a, b, and c are the side lengths of a triangle and

≤

then:

if and only if the triangle is

acute.

if and only if the triangle is

right.

if and only if the triangle is

obtuse.

First, put the three side lengths in order from smallest to largest:

To classify the triangle, compare

Since

these are the side lengths of an acute triangle:

Looking for more? Try these:

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