Given the right triangle below, find the missing side length.
P.2: Missing Length
Given the right triangle below, find the missing side length.
! 9 ft.
12 ft.
Kaden's "Addition" Method
The Pythagorean Theorem says that
the two smaller lengths add to the
longest length.
I plug the values into the
Pythagorean Theorem and solve for !.
The length of the unknown side is
21 ft.
!+# = % 9 + 12 = )
21 = )
P.2: Missing Length
Given the right triangle below, find the missing side length.
! 9 ft.
12 ft.
Maddie's "Squared" Method
*! + +! = ,!
9! + 12! = &! 81 + 144 = &!
225 = &! 15 = &
The Pythagorean Theorem says that the sum of the squares of the two smaller
sides is the same as the square of the longest side.
I plug the values into the
Pythagorean Theorem and solve for !.
The missing side length is 15 ft.
P.2: Missing Length
Given the right triangle below, find the missing side length.
9 ft.
Kaden's "Addition" Method
! 12 ft.
Maddie's "Squared" Method
The Pythagorean Theorem says that
the two smaller lengths add to the
longest length.
!+# = %
I plug the values into the
Pythagorean Theorem and solve for !.
9 + 12 = )
The length of the unknown side is
21 ft.
21 = )
!! + #! = %!
9! + 12! = )! 81 + 144 = )!
225 = )! 15 = )
The Pythagorean Theorem says that the sum of the squares of the two smaller
sides is the same as the square of the longest side.
I plug the values into the
Pythagorean Theorem and solve for !.
The missing side length is 15 ft.
P.2: Missing Length
1) What are the similarities and differences between Kaden and Maddie's methods?
Similarities
Differences
2) Kaden and Maddie got different answers. Can they both be correct? If not, who is correct, and how do you know?
3) Does it matter that Maddie used 9 for a and 12 for b? Why, or why not?
4) Find the missing side of the right triangle in the diagram. 10
6 x
P.2: Missing Length
Given the right triangle below, find the missing side length.
! 9 ft.
I'm so frustrate1d2 ft.with myself! How
could I forget that you have to
Kaden's "Addition" Mestqhoudare the side lengthsMobregafno'sr"eSquared" Method
adding them, and then you have to
The Pythagorean Theorem says that
the two smaller lengths add to the
longest length.
take the square root to get your ! + # = % final answer!?! + #! = %!
Pythagoras would be so mad at me...
The Pythagorean Theorem says that the sum of the squares of the two smaller
sides is the same as the square of the longest side.
I plug the values into the
Pythagorean Theorem and solve for !.
9 + 12 = )
9! + 12! = )! 81 + 144 = )!
I plug the values into the
Pythagorean Theorem and solve for !.
225 = )!
The length of the unknown side is
21 ft.
21 = )
15 = )
The missing side length is 15 ft.
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