7.4 Similarity in Right Triangles

Front

What is the definition of similarity in triangles?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the geometric mean of two numbers a and b?

Back

Front

How do you find the length of a side in a right triangle using the geometric mean?

Back

Front

What is the relationship between the sides of similar right triangles?

Back

In similar right triangles, the ratios of the lengths of corresponding sides are equal.

Front

How do you apply the Pythagorean theorem in right triangles?

Back

Front

What is the formula for finding the length of the altitude to the hypotenuse in a right triangle?

Back

Front

What is the significance of the 45-45-90 triangle?

Back

Front

What is the significance of the 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2, where the shortest side is opposite the 30-degree angle.

Front

How do you find the missing side of a right triangle using similarity?

Back

If two triangles are similar, you can set up a proportion using the lengths of the corresponding sides to find the missing side.

Front

What is the formula for the area of a triangle?

Back