The Pythagorean Theorem

1
The Pythagorean Theorem
COURSE 3 LESSON 4-9
Find the length of the hypotenuse of a right
triangle whose legs are 6 ft and 8 ft.
The length of the hypotenuse is 10 ft.
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2
The Pythagorean Theorem
COURSE 3 LESSON 4-9
The bottom of a 10-foot ladder is 2.5 ft from
the side of a wall. How far, to the nearest
tenth, is the top of the ladder from the ground?
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3
The Pythagorean Theorem
COURSE 3 LESSON 4-9
(continued)
The distance from the top of the ladder to the
ground is about 9.7 ft.
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4
The Pythagorean Theorem
COURSE 3 LESSON 4-9
Is a triangle with sides 6 cm, 8 cm, and 12 cm a
right triangle?
The equation is not true, so the triangle is not
a right triangle.
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5
The Pythagorean Theorem
COURSE 3 LESSON 4-9
1. The bottom of a 12-ft ladder is 4 ft from the
side of a house. Find the height of the top of
the ladder above the ground to the nearest
tenth. 2. Is a triangle whose sides are 8 m, 12
m, and 16 m a right triangle? Explain.
11.3 ft
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