Triangle Ratios and Proportions Problems

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula P = 2(length + width).

Front

If the ratio of length to width of a rectangle is 5:2, how can you express the length and width in terms of a variable?

Back

Let the width be 2x and the length be 5x.

Front

How do you calculate the area of a rectangle?

Back

The area (A) of a rectangle is calculated using the formula A = length × width.

Front

What is the sum of the angles in a triangle?

Back

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

Front

How do you find the measures of angles in a triangle given their ratio?

Back

Let the ratio be represented as k. If the angles are in the ratio a:b:c, then the angles can be found using: angle1 = ak, angle2 = bk, angle3 = ck, where a + b + c = 180.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

In an isosceles triangle, how are the angles related?

Back

The angles opposite the equal sides are also equal.

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve for a missing value in a proportion?

Back

Cross-multiply the ratios and solve for the unknown value.

Front

What is the extended ratio of angles in a triangle?

Back

An extended ratio expresses the relationship between the angles in a triangle in a simplified form, such as 2:4:9.