Use the information marked on the figure to find the value of x

SWBAT: Solve Problems involving 45-45-90 special right triangles
Warm - Up
Use the information marked on the figure to find the value of x.
Express all answers in simplest radical form.
SWBAT: Solve Problems involving 45-45-90 special right triangles
Warm - Up
5+7ο€Ύ9
12 ο€Ύ 9
 Is formed
πŸ“πŸ + 72 __ 92
< 81
74 __
 Obtuse 
SWBAT: Solve Problems involving 45-45-90 special right triangles
HW ANS
πŸπŸ“
𝟐
SWBAT: Solve Problems involving 45-45-90 special right triangles
SWBAT: Solve Problems involving 45-45-90 special right triangles
c2=a2+b2
c2=x2+x2
c2=2x2
c2 = 2x2
c = πŸβ€’ π’™πŸ
c=x 2
c
x
x
SWBAT: Solve Problems involving 45-45-90 special right triangles
S
βˆ—
𝟐
H
SWBAT: Solve Problems involving 45-45-90 special right triangles
Hβ€’1 = Lβ€’βˆš2
H = L√2
H = L√2
√2
√2
SWBAT: Solve Problems involving 45-45-90 special right triangles
πŸ– 𝟐
πŸπŸ“ 𝟐
πŸ” πŸβˆ— 𝟐
πŸ”βˆ—πŸ
𝟏𝟐
SWBAT: Solve Problems involving 45-45-90 special right triangles
𝟏𝟎 𝟐
πŸπŸ• 𝟐
πŸπŸ”
πŸ– πŸβˆ— 𝟐
πŸ–βˆ—πŸ
SWBAT: Solve Problems involving 45-45-90 special right triangles
πŸ–
πŸ– 𝟐
πŸ”
πŸ”
βˆ—
𝟐
πŸ’ πŸβˆ— 𝟐
6 βˆ— 𝟏𝟐
4βˆ—πŸ
6βˆ— πŸ’ πŸ‘ πŸ” πŸ”
8
6βˆ—πŸ πŸ‘
12 πŸ‘
πŸ’ 𝟐
SWBAT: Solve Problems involving 45-45-90 special right triangles
𝟏𝟎 𝟐
𝟐𝟎
𝟏𝟎 𝟐 βˆ— 𝟐
10 βˆ— 𝟐
πŸ• 𝟐
πŸ•
SWBAT: Solve Problems involving 45-45-90 special right triangles
𝟐 𝟐
𝟐
𝟐
=𝟐
πŸ’πŸŽ 𝟐
𝟐
= πŸ’πŸŽ
πŸ’πŸŽ
πŸ”
=πŸ‘ 𝟐
𝟐
(𝒄𝒖𝒕 π’Šπ’ 𝒉𝒂𝒍𝒇
π’Žπ’–π’π’•π’Šπ’‘π’π’š π’ƒπ’š 𝟐)
πŸ‘ 𝟐
SWBAT: Solve Problems involving 45-45-90 special right triangles
𝟐
𝟐
𝟏
=𝟏
πŸπŸ‘ 𝟐
𝟐
πŸπŸ‘
= πŸπŸ‘
πŸ’
=𝟐 𝟐
𝟐
𝟐 𝟐
(𝒄𝒖𝒕 π’Šπ’ 𝒉𝒂𝒍𝒇
π’Žπ’–π’π’•π’Šπ’‘π’π’š π’ƒπ’š 𝟐)
SWBAT: Solve Problems involving 45-45-90 special right triangles
πŸ– 𝟐
𝟐
πŸ–
πŸ–
=πŸ–
𝟏𝟎
=πŸ“ 𝟐
𝟐
(𝒄𝒖𝒕 π’Šπ’ 𝒉𝒂𝒍𝒇
π’Žπ’–π’π’•π’Šπ’‘π’π’š π’ƒπ’š 𝟐)
πŸ“ 𝟐
πŸ“ 𝟐
πŸ“ πŸ”
𝟐
=πŸ“ πŸ‘
πŸ“ πŸ‘
πŸ“ πŸ‘
SWBAT: Solve Problems involving 45-45-90 special right triangles
πŸπŸ• 𝟐
𝟐
πŸ‘πŸ”
𝟐
πŸπŸ’ πŸ”
𝟐
= πŸπŸ•
= πŸπŸ– 𝟐
πŸπŸ•
πŸπŸ•
πŸπŸ– 𝟐
πŸπŸ– 𝟐
= πŸπŸ’ πŸ‘
πŸπŸ’ πŸ‘
πŸπŸ’ πŸ‘
SWBAT: Solve Problems involving 45-45-90 special right triangles
𝒙=πŸ‘ 𝟐
3
3
SWBAT: Solve Problems involving 45-45-90 special right triangles
𝟏𝟐 πŸ”
x =
x
x
𝟏𝟐 πŸ”
𝟐
= 𝟏𝟐 πŸ‘
𝒙 = 𝟏𝟐 πŸ‘
SWBAT: Solve Problems involving 45-45-90 special right triangles
SWBAT: Solve Problems involving 45-45-90 special right triangles
SWBAT: Solve Problems involving 45-45-90 special right triangles
π‘Ίπ’Šπ’…π’† =
π‘·π’†π’“π’Šπ’Žπ’†π’•π’†π’“
πŸ’
πŸ–
=
πŸ’
2
2
2
𝒙=𝟐 𝟐
2
=𝟐