1. consider the right triangle abc given below.
a. find the length of side b to two decimal places.
b. find the length of side a to two decimal places in three different ways.

2. solve the triangles below.

Part 1)

Part a)

Part b) (three different ways in the procedure)

Part 2)

First triangle (triangle a)

Part a)  

Part b)

Part c)

Second triangle  (triangle b)

Part a)      

Part b)

Part c)  

Step-by-step explanation:

Part 1)

Part A

we know that

In the right triangle ABC

we have

Substitute and solve for b

Part B

First way

we know that

In the right triangle ABC

we have

Substitute and solve for a

Second way

Applying the Pythagoras theorem

we have

substitute and solve for a

Third way

we know that

In the right triangle ABC

we have

substitute and solve for a

Part 2)

triangle a

we have

Step 1

Find the measure of length side c

Applying the law of cosines

substitute

Step 2

Find the measure of angle A

Applying the law of sines

we have

substitute and solve for A

Step 3

Find the measure of angle B      

Remember that the sum of the internal angles of a triangle must be equal to degrees

so

we have

substitute

triangle b

we have

Step 1  

Find the measure of angle A      

Remember that the sum of the internal angles of a triangle must be equal to degrees

so

we have

substitute

Step 2

Find the measure of side AC

Applying the law of sines

we have

substitute and solve for b

Step 3

Find the measure of side BC

Applying the law of sines

we have

substitute and solve for a

what does x eaqual

step-by-step explanation:

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24