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?

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

Part 2)  

Part 3)

Step-by-step explanation:

we have

In the triangle ABC

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

we have

substitute the given values

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

We want to keep the digit

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

therefore

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!