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# Geometry

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https://prnt.sc/iqst3m

https://prnt.sc/iqst76

https://prnt.sc/iqst8m

Severoth  Mar 13, 2018
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#1
+84168
+2

First one

The smallest angle is opposite the shortest side   and the largest angle is opposite the longest side

Using the Law of Sines......we have that

Sin 36           Sine of angle opposite longest side

_____    =    ________________________

53                         90

Multiply both sides by 90

90 Sine 36/53   = Sin of angle opposite the longest side......using the sine inverse, we have

arcsin [ (90/53)sin 36 ] =   sine of angle opposite the longest side ≈  86.5°

CPhill  Mar 13, 2018
#2
+84168
+2

Second one....

Here's a YouTube video that explains this better than I can.....

CPhill  Mar 13, 2018
#3
+84168
+2

Last one :

Area of sector   GHJ  =

(1/2)  (5^2)   * pi /4  =

25 / 8  pi  cm^2   ≈   9.8 cm^2

CPhill  Mar 13, 2018

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