#9.3 Similar Right Triangles

Front

What are similar right triangles?

Back

Similar right triangles are triangles that have the same shape but may differ in size. They have equal corresponding angles and their sides are in proportion.

Front

What is the property of the angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the ratio of the sides in similar right triangles?

Back

The ratio of the lengths of corresponding sides in similar right triangles is constant.

Front

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

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides.

Front

If triangle A is similar to triangle B, and the sides of triangle A are 3, 4, and 5, what are the sides of triangle B if the shortest side is 6?

Back

The sides of triangle B are 6, 8, and 10, maintaining the same ratio.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

If two triangles are similar, how does their area relate?

Back

The area of similar triangles is proportional to the square of the ratio of their corresponding sides.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that 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.

Front

If the lengths of the legs of a right triangle are 6 and 8, what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: Hypotenuse = √(6² + 8²) = √(36 + 64) = √100 = 10.

Front

What is a scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.