What is the length of the hypotenuse of the right triangle shown?

Step-by-step explanation:

Use the Pythagorean theeorem:

a,b - leg lengths

c - hypotenuse length

We have a = 12 and b = 16. Substitute:

c = 20

Step-by-step explanation:

Using Pythagoras' identity on the right triangle

c² = 12² + 16² = 144 + 256 = 400

Take the square root of both sides

c = = 20

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: