Unit 5 Test Review

Front

What is the formula to find the altitude of an equilateral triangle?

Back

The altitude (h) of an equilateral triangle can be found using the formula: h = (√3/2) * a, where 'a' is the length of a side.

Front

What is the relationship between similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

How do you determine if three lengths can form a triangle?

Back

Three lengths can form a triangle if the sum of the lengths of any two sides is greater than the length of the third side.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal (each measuring 60 degrees).

Front

What is the significance of the 58-degree angle in triangle problems?

Back

The angle can be used to determine the lengths of the sides of the triangle using trigonometric ratios, especially in similar triangles.

Front

What is the formula for the length of a cable in a triangle?

Back

The length of a cable can be calculated using trigonometric functions, such as sine, cosine, or tangent, depending on the angle and height.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the formula for the total length of cables needed to secure a pole?

Back

The total length of cables can be calculated using the Pythagorean theorem or trigonometric ratios based on the height and angles.

Front

What is the definition of a right triangle?

Back

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