Calculate the area of this triangle 18cm 11cm 14cm

  about 77 cm^2

Step-by-step explanation:

From 3 sides, the area of a triangle is conveniently calculated using Heron's formula:

  A = √(s(s -a)(s -b)(s -c))

where s is the semi-perimeter: s = (a+b+c)/2.

For the given values of a, b, c, we have ...

  s = (a+b+c)/2 = (18 +11 +14)/2 = 21.5

  A = √(21.5·3.5·10.5·7.5) = √5925.9375

  A ≈ 76.9801 . . . cm^2

The area is about 77 square centimeters.

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

≥

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}

step-by-step explanation: