5.1-5.5 Flashcard Review (Triangle Angles and Sides)

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Front

What is the Triangle Inequality Theorem?

Back

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

Front

Can a triangle have angles measuring 91°, 45°, and 44°?

Back

No, because the sum of the angles exceeds 180°.

Front

What is the relationship between the sides and angles of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

If two angles of a triangle are 70° and 65°, what is the measure of the third angle?

Back

The third angle measures 45° (180° - 70° - 65° = 45°).

Front

What is the definition of an acute triangle?

Back

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

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90°.

Front

What is the definition of a right triangle?

Back

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

Front

If the sides of a triangle are 5, 12, and 13, what type of triangle is it?

Back

It is a right triangle, as it satisfies the Pythagorean theorem: 5² + 12² = 13².

Front

What is the formula to find the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.