which is longest?
A. the diagonal of a square with 6 cm sides
B. the diagonal of a rectangle with length 7 cm and width 5 cm
C. the hypotenuse of a right triangle with legs 4 cm and 9 cm long
D. the leg of a right triangle with the other leg 10 cm and the hypotenuse 15 cm long

Respuesta :

Answer:

12cm

Step-by-step explanation:

where:

c

is the hypotenuse, and

a

and

b

are the other two sides (legs).

Let

a

=

9 cm

Rearrange the equation to isolate

b

2

. Plug in the values for

a

and

c

, and solve.

b

2

=

c

2

a

2

b

2

=

(

15 cm

)

2

(

9 cm

)

2

Simplify.

b

2

=

225 cm

2

81

cm

2

b

2

=

144 cm

2

Take the square root of both sides.

b

=

144 cm

2

Simplify.

b

=

12 cm

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