Suppose we want to buy an entertainment center, but it only holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

ObjectivesIdentify the right angle, hypotenuse and legs

of a right triangle.Use the Pythagorean Theorem to solve right

triangle problems.

Right TrianglesThe hypotenuse is across from the right angleThe other two sides are called the legs.

hypotenuse

leg

leg

right angle

Pythagorean Theorem

a

b

c

a2 + b2 = c2

b

a

c

White board directionsYou will be given a problem and then a few

minutes to solve the problem on your white board.

At the end you will hold up your board for me to check

Your answer must include 4 things: A sketch of the triangle with the value of the given

sides labeled The Pythagorean Theorem Your algebraic work that shows how you got your

answer Your final answer (circle it!)

Question #1A right triangle has a hypotenuse of 15 and a

leg of 9. What is the length of the other leg?

Question #2A right triangle has the following

measurements: a = 7 b = 8

What is the value of c (the hypotenuse)?

Question #3A right triangle has a hypotenuse of √50 and

a leg of 4. Find the length of the other leg.

Question #4A right triangle has the following

measurements:

11√105 Find the length of the

missing side.

Question #5A right triangle has legs that measure 7 and

10. What is the hypotenuse of the triangle?

ObjectivesIdentify the right angle, hypotenuse and legs

of a right triangle.Use the Pythagorean Theorem to solve right

triangle problems.

Exit SlipSuppose we want to buy an entertainment

center, but it only holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)