AyatoSakamaki
Answered

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Find the perimeter of this triangle.
11
50°
Perimeter
=
[?]
Round to the nearest tenth.

Find The Perimeter Of This Triangle1150PerimeterRound To The Nearest Tenth class=

Sagot :

sqdancefan

Answer:

  41.2

Step-by-step explanation:

You want the perimeter of a right triangle with one leg marked 11 and the adjacent angle marked 50°.

Trig functions

The trig functions useful here are ...

  Cos = Adjacent/Hypotenuse   ⇒   Hypotenuse = Adjacent/Cos

  Tan = Opposite/Adjacent   ⇒   Opposite = Adjacent×Tan

In these ratios, "Adjacent" refers to the side adjacent to the marked angle.

Perimeter

The perimeter is the sum of the side lengths:

  P = Adjacent + Hypotenuse + Opposite

  P = 11 + 11/cos(50°) + 11·tan(50°) = 11(1 + 1/cos(50°) + tan(50°))

  P ≈ 41.2 . . . . units

The perimeter is about 41.2 units.

View image sqdancefan
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