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Instructions and examples on how to find the length of the hypotenuse in right triangles using the Pythagorean Theorem. It covers identifying the legs and hypotenuse, understanding the theorem, and solving practice problems.
Typology: Lecture notes
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Common Core Standards
equations of the form x
2
= p and x
3
= p, where p is a positive rational
number. Evaluate square roots of small perfect squares and cube roots of
small perfect cubes. Know that √ 2 is irrational.
in right triangles in real-world and mathematical problems in two and three
dimensions
Copy the right triangles and circle the length of the
hypotenuse.
116
o 85
o
57
o
38
o
The two short sides of a right triangle are called the legs.
The longest side is called the hypotenuse.
Examples
Identify the hypotenuse and the legs of the right
triangles.
The Pythagorean Theorem:
The sum of the squares of the two legs of a right
triangle always equals the square of the hypotenuse.
Examples
Find the length of the hypotenuse.
2 2 2
The hypotenuse must be the longest side.
Examples
Eliminate the answers that are not possible values
for the hypotenuse.
Find the length of the
hypotenuse.
a) 8 b) 15 c) 25 d)
Find the length of the hypotenuse.
A ladder leans against a wall. The top of the ladder is 8
feet from the ground. The bottom of the ladder is 6
feet from the wall. How long is the ladder?
9 ft
12 ft
Find the length of the hypotenuse of a right triangle
if the two legs are 15 inches and 20 inches.
Find the length of the hypotenuse. Round your answer
to the nearest tenth.
Example
Find the length of the hypotenuse. Round your answer
to the nearest whole number.
There are very few right triangles in which all three
sides have whole number lengths.