Mathematics: 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?

none. there is no intercept please tell me if im wrong...

Use the information to answer the questions. in

championroof

14.01.2022

Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)

Part 2) b^2=a^2+c^2-2(a)(c)cos(B)

Part 3) $b=11.6\ in$

Step-by-step explanation:

we have

In the triangle ABC

$a=11\ in\\c=9\ in\\B=70^o$

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 (Side-Angle-Side)

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

b^2=a^2+c^2-2(a)(c)cos(B)

we have

$a=11\ in\\c=9\ in\\B=70^o$

substitute the given values

b^2=11^2+9^2-2(11)(9)cos(70^o)

b^2=202-67.72

$b=11.59\ in$

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 (this is called rounding down)

c) But increase it by if the next digit is or more (this is called rounding up)

In this problem we have

$11.59\ in$

We want to keep the digit

The next digit is which is 5 or more, so increase the "5" by 1 to "6"

therefore

$b=11.6\ in$

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