7.1 HW

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

How can you determine if a triangle is acute, right, or obtuse based on its side lengths?

Back

1. Sort the side lengths in ascending order: a, b, c (where c is the longest). 2. If a² + b² > c², the triangle is acute. 3. If a² + b² = c², the triangle is right. 4. If a² + b² < c², the triangle is obtuse.

Front

Given the side lengths 24, 29, 32, determine the type of triangle.

Back

Acute

Front

Given the side lengths 3, 16, 17, determine the type of triangle.

Back

Obtuse

Front

Given the side lengths 6, 13, 20, determine the type of triangle.

Back

Not a triangle

Front

Given the side lengths 10, 24, 26, determine the type of triangle.

Back

Right

Front

Given the side lengths 20, 23, 41, determine the type of triangle.

Back

Obtuse

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle equal to 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle where one angle is greater than 90 degrees.