Unit 10 Algebra Test Version B

Find the value of x.  Round to two decimal places.

Find the value of x.  Round to two decimal places.

Find the value of x.  Round to two decimal places.

Find the value of x.  Round to two decimal places.

How far from the base of the house do you need to place a 10-foot ladder so that it exactly reaches the top of a 8-foot tall wall? (Use Pythagorean Theorem.)

A soccer field is a rectangle 60 meters wide and 80 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance? (Use Pythagorean Theorem.)

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 14 feet long. How far above the ground does the ladder touch the wall?  (Solve using the Pythagorean Theorem.)  Round answer to 2 decimal places.

Find the distance between the two points (-3, -2) and (3, -10).

Find the distance between the two points (3, 0) and (15, -5).

Find the distance between the two points (1, -1) and (5, 2).

Find the distance between the two points (14, -7) and (24, 3). Round answer to 2 decimal places.

Find the distance between the two points (1, 8) and (7, 3).  Round answer to 2 decimal places.

 The formula a² + b² = c² works for all ______________ triangles.

The _______________________ Theorem states that a² + b² = c².

In the Pythagorean Theorem, c is the ______________ of the triangle.

In the Pythagorean Theorem, a and b are the ______________ of the triangle.

To find how far apart two points are, you can use the _______________ formula.