45-45-90 Triangles
Find the value of the variable(s).
6
x

6

3

3√2

6√2

Which statement is NOT true about a

45o-45o-90o triangle??

hypotenuse = leg • √2

legs are congruent

leg = hypotenuse ÷ √2

hypotenuse = 2 • leg

Find the value of the variable(s).
45o

7

x

7√3

 7√2

7

3.5√2

Find the length of the hypotenuse if each leg

is 5 cm long.

5

5√3

5√2

2.5√2

Find the value of the variable in the following

isosceles right triangle.

x

2

2√2

1

2√3

√2

Find the value of each variable.

x = 6; y = 6

x = 6√2; y = 6√2

x = 6√3; y = 6

x = 6√2; y = 6

x
y

12

45o

Find the value of x.
5√2
x

5

5√2

10

10√2

Find AB.
 8

16

16√2

4

A
4√2
C
B
6√6
Z
X

Triangle XYZ is an

isosceles right triangle.

Find XY.

Simplify completely!

Y

6√2

12√6

6√12

12√3

If EF = 15, find DF and ED.
D
45o

E

DF= 15; ED = 30

DF = 15; ED = 15√3

DF = 15√2; ED = 15

Not enough info

F

9√2

 4.5√2
J
x
K

9

18

   9

√2
L

Find the value of x.

Simplify!

Find the value of each leg.

6√2

12√2

6√12

   12

√2
12
45o
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