 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.)
Objectives
 Identify the right angle, hypotenuse and legs of a right
triangle.
 Use the Pythagorean Theorem to solve right triangle
problems.
Right Triangles
 The hypotenuse is across from the right angle
 The other two sides are called the legs.
hypotenuse
leg
leg
right angle
Pythagorean Theorem
a2 + b2 = c2
c
a
c
b
b
a
White board directions
 You 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 #1
 A right triangle has a hypotenuse of 15 and a leg of 9.
What is the length of the other leg?
Question #2
 A right triangle has the following measurements:


a=7
b=8
What is the value of c (the hypotenuse)?
Question #3
 A right triangle has a hypotenuse of √50 and a leg of 4.
Find the length of the other leg.
Question #4
 A right triangle has the following measurements:
11
√105
Find the length of the
missing side.
Question #5
 A right triangle has legs that measure 7 and 10. What is
the hypotenuse of the triangle?
Objectives
 Identify the right angle, hypotenuse and legs of a right
triangle.
 Use the Pythagorean Theorem to solve right triangle
problems.
Exit Slip
 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.)
Don’t forget to do your homework!