Question

9

The hypotenuse of a 45°-45°-90° triangle measures 14 inches. What is the length of each leg?
OA. 7√3 inches
OB.
7/2 inches
OC. √2 inches
OD. 7 inches

Answer 1

In a

45

−

45

−

90

triangle the two shorter sides are equal since it is also an isosceles triangle. Using Pythagoras' theorem

x

2

+

x

2

=

7

2

2

x

2

=

49

x

=

√

49

2

x

=

7

√

2

=

7

√

2

2