Kramirez99 Kramirez99
  • 13-06-2017
  • Mathematics
contestada

suppose an isosceles triangle ABC has A= 45 degrees and B= C=3 what is the length of a2

suppose an isosceles triangle ABC has A 45 degrees and B C3 what is the length of a2 class=

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BlueSky06
BlueSky06 BlueSky06
  • 26-06-2017
We are asked to solve for the value of a2 and we can solve this problem by applying the Law of Cosines such as the formula is shown below:
a² = b² + c² - 2bccosA
We are given with the following values:
b=3
c=3
A=45°
Let us solve by substituting these values into the formula such as shown below:
a² = 3² + 3² - 2*3*3*cos 45° , squared the values and perform addition and subtraction
a ² = 9 + 9 - 18cos45°
a² = 5.27

The answer for the length of a² is 5.27 which is letter "A". 
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