Use the information to answer the questions. In triangle ABC, a = 11 in., measure angle B=70 deg and c = 9 in. Which information about the triangle is given?
Question
In triangle ABC, a = 11 in., measure angle B=70 deg and
c = 9 in.
Which information about the triangle is given?
2 Answer

1. User Answers calculista
Answer:
Part 1) The length of two sides and the measure of the included angle (SideAngleSide)
Part 2) [tex]b^2=a^2+c^22(a)(c)cos(B)[/tex]
Part 3) [tex]b=11.6\ in[/tex]
Stepbystep explanation:
we have
In the triangle ABC
[tex]a=11\ in\\c=9\ in\\B=70^o[/tex]
Part 1) Which information about the triangle is given?
In this problem we have the length of two sides and the measure of the included angle (SideAngleSide)
see the attached figure to better understand the problem
Part 2) Which formula can you use ti find b?
I can use the law of cosines
[tex]b^2=a^2+c^22(a)(c)cos(B)[/tex]
we have
[tex]a=11\ in\\c=9\ in\\B=70^o[/tex]
substitute the given values
[tex]b^2=11^2+9^22(11)(9)cos(70^o)[/tex]
[tex]b^2=20267.72[/tex]
[tex]b=11.59\ in[/tex]
Part 3) What is b, rounded to the nearest tenth?
Remember that
To Round a number
a) Decide which is the last digit to keep
b) Leave it the same if the next digit is less than [tex]5[/tex] (this is called rounding down)
c) But increase it by [tex]1[/tex] if the next digit is [tex]5[/tex] or more (this is called rounding up)
In this problem we have
[tex]11.59\ in[/tex]
We want to keep the digit [tex]5[/tex]
The next digit is [tex]9[/tex] which is 5 or more, so increase the "5" by 1 to "6"
therefore
[tex]b=11.6\ in[/tex]

2. User Answers tazader
Answer:
Question 1:
SAS
Question 2:
[tex]b^{2} =a^{2} +c^{2} 2ac * cos(B)[/tex]
Question 3:
11.6 in
Stepbystep explanation:
Edg2020