Ordering sides and angles in a triangle

Front

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

Back

In a triangle, the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

Front

Define the term '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

How do you determine the smallest angle in a triangle?

Back

To determine the smallest angle in a triangle, identify the shortest side; the angle opposite this side is the smallest.

Front

What is the longest side in a triangle called?

Back

The longest side in a triangle is called the hypotenuse in a right triangle, and it is opposite the largest angle.

Front

List the steps to order the sides of a triangle from shortest to longest.

Back

1. Measure the lengths of all three sides. 2. Compare the lengths. 3. Arrange them in ascending order.

Front

What is the significance of the angles in a triangle?

Back

The angles in a triangle determine the shape and can be used to find the lengths of the sides using trigonometric ratios.

Front

If angle A is 30 degrees and angle B is 60 degrees, what can you say about angle C?

Back

Angle C must be 90 degrees because the sum of angles in a triangle is always 180 degrees.

Front

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

Back

Area = 1/2 * base * height.

Front

How can you find the length of a side in a triangle using angles?

Back

You can use the sine, cosine, or tangent functions from trigonometry to find the lengths of sides based on the angles.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle with at least two sides of equal length and the angles opposite those sides are equal.