12.4 Similar Right Triangles

Front

What is a similar triangle?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

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

Back

The geometric mean is the square root of the product of the two numbers: √(a*b).

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of the lengths of their corresponding sides are equal.

Front

How do you find the length of a side in a similar triangle?

Back

Use the proportion of the corresponding sides from the similar triangles.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

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

Back

It is a right triangle.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

How do you calculate the height of a right triangle if you know the base and the area?

Back

Height = (2 * Area) / Base.

Front

What is the formula for the area of a right triangle?

Back

Area = (1/2) * base * height.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the ratio of their corresponding sides?

Back

The ratio is 6:9 or 2:3.