Pythagorean Theorem

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?

11.6

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?

150

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

18.03

The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle?

300

How far from the base of the house do you need to place a 15 foot ladder so that it exactly reaches the top of a 12 foot wall?

9

Right Triangle

A triangle containing a 90 degree angle.

Answer #10: No it is not because 19² + 20² ≠ 28²

Question #10: Is the triangle a right triangle? Show how you know.

Answer #1: LN = 17. Yes, this is a Pythagorean Triple.

Question #1:

Answer #3: 11.3 ft

Question #3:

Answer #4: Yes, because 12.5² + 30² = 32.5²

Question #4:

Answer #6: x = 25

Question #6: Find the value of x.

Answer #7: Yes because 10² + 24² = 26²

Question #7: Does the set of numbers form a Pythagorean Triple?

Answer #9: 14.1 feet

Question #9:

Hypotenuse

The longest side of a right triangle. It is on the opposite side of the right angle.

Leg

The two sides adjacent to the right angle in a right triangle.

Pythagorean Theorem

a² +b² =c² (Where a and b are the legs and c is the hypotenuse).