Transcript Warm-Up Exercises

Quote of the Day
Statistical thinking will one day be as necessary
for efficient citizenship as the ability to read and
write.
-H. G. Wells
Apply the Pythagorean Theorem
and Its Converse
Section 11.4
Objectives:
• Apply the Pythagorean Theorem
• Apply the converse of the Pythagorean Theorem
Key Vocabulary:
• Hypotenuse
• Legs of a right triangle
• Pythagorean Theorem
Hypotenuse and Legs of a right
triangle
The hypotenuse of a right triangle is the side
opposite the right angle. It is the longest side of
a right triangle.
The legs are the two sides that form the right
angle.
The Pythagorean Theorem
Example 1:
Find the unknown length for the triangle shown.
#1: Find the value of c.
a5
b  12
Example 2:
A right triangle has one leg that is 2 inches longer
than the other leg. The length of the
hypotenuse is 10 inches. Find the unknown
lengths.
Example 3:
#2: Complete.
A right triangle ahs one leg that is 3 inches longer
than the other leg. The length of the hypotenuse
is 15 inches. Find the unknown lengths.
#3: Complete.
A rectangular pool is 30 feet wide and 60 feet
long. You swim diagonally across the pool. To
the nearest foot, how far do you swim?
Converse of the Pythagorean Theorem
Example 4:
Tell whether the triangle with the given side
lengths is a right triangle.
a) 8, 15, 17
b) 5, 8, 9
Example 5:
A construction worker is making sure one corner of
the foundation of a house is a right angle. To
do this, the worker makes a mark 8 feet from
the corner along one wall and another mark 6
feet from the same corner along the other wall.
The worker then measures the distance
between the two marks and finds the distance
to be 10 feet. Is the corner a right angle?
#4: Tell whether the triangle with the
given side lengths is a right triangle.
7, 11, 13
#5: Tell whether the triangle with the
given side lengths is a right triangle.
15, 36, 39
#6: Tell whether the triangle with the
given side lengths is a right triangle.
15, 112, 113
#7: Complete.
A window has the shape of a triangle with side
lengths of 120 centimeters, 120 centimeters, and
180 centimeters. Is the window a right triangle?
Partner Work
Page 740 #4, 14, 16, 17, 21, 25, 27
Homework Assignment
Page 740 #6, 8, 10, 12, 18, 20, 22,
24, 26, 28, 34, 36, 38