Pythagorean Theorem and Similarity Review

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

Front

If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?

Back

5 units.

Front

What is the relationship between similar triangles?

Back

Their corresponding angles are equal and their sides are in proportion.

Front

If two triangles are similar, and one triangle has sides of length 2, 3, and 4, what are the corresponding sides of a triangle that is twice as large?

Back

4, 6, and 8.

Front

What is the distance from the top of a 10-foot ladder leaning against a wall, if the base of the ladder is 4 feet from the wall?

Back

9 feet.

Front

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

Back

Use the Pythagorean Theorem: a² + b² = c².

Front

What is the height of a tree if the distance from the base to the top is 80 feet?

Back

80 feet.

Front

In a right triangle, if one leg is 6 units and the hypotenuse is 10 units, what is the length of the other leg?

Back

8 units.

Front

What is the significance of the Pythagorean Theorem in real-life applications?

Back

It helps in calculating distances and heights in construction, navigation, and various fields.