Geo LA -Ordering Sides and Angles

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side. This is known as the Angle-Side Relationship.

Front

In triangle ∆XYZ, if m∠x = 40°, m∠y = 60°, and m∠z = 80°, which side is the longest?

Back

Side YZ is the longest because it is opposite the largest angle (80°).

Front

What is the sum of the interior angles in any triangle?

Back

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

Front

How do you determine the order of sides based on angle measures?

Back

List the angles from largest to smallest, then match each angle to its opposite side to order the sides from longest to shortest.

Front

If m∠A = 30° and m∠B = 60° in triangle ABC, what can you say about side AC compared to side AB?

Back

Side AC is shorter than side AB because it is opposite the smaller angle (30°).

Front

What is the definition of an obtuse triangle?

Back

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

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

In triangle ∆ABC, if m∠A = 45°, m∠B = 45°, and m∠C = 90°, what type of triangle is it?

Back

It is a right isosceles triangle because it has a right angle and two equal angles.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90°.

Front

If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it?

Back

It is a right triangle because it follows the Pythagorean theorem (3² + 4² = 5²).