Flashcards in HPreCalc Chapter 6 Part 1 Test Deck (25)

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1

## What is the alternative form of the law of cosines

### CosA=b^2+c^2-a^2/2bc

2

## Always use ______ decimals for problems with multiple steps

### Unrounded

3

##
Why can't you use the law of sines to find an obtuse angle

What should you do to avoid making this mistake

###
Law of sines has a domain that will make the angle either right or acute

Use law of cosines to find biggest angle first

4

## When using Heron's formula, look for __________ and __________

###
Perfect squares and repeated factors

5

## If you have 45 in Heron's formula, separate it into __ and ___

### 9 and 5 (take out a 3)

6

## When finding a bearing in a triangle, start N or S. You can tell by seeing which one is closest to a ___ of that triangle

### Side

7

## When you are given three sides of a triangle, you use the Law of ___ to find the three angles of the triangle

### Cosines

8

## When you are given two angles and any side of a triangle, you use the law of ____ to solve the triangle

### Sines

9

## The law of cosines can be used to establish a formula for finding the area of a triangle;e called _____ ______ formula

### Heron's Area

10

## When do you use law of cosines

###
SSS

SAS

11

## When do you use law of sines

### ASA, AAS, SSA

12

## When is it not possible to use law of sines or law of cosines

### AAA

13

##
What is ambiguous case

Explain

###
SSA

There can (possibly) be two triangles or even no triangles.

Find the height and decide

14

## When you can make two triangles using ambiguous case, how do you find the second

### Make the other angle its supplement (should be obtuse). Keep the two side lengths the same and solve

15

## Oblique means

### Not right or isosceles

16

## What is the law of sines

### A/sinA=B/sinB=C/sinC

17

## Always check that the largest ____ matches up with the largest ____-

### Angle, side

18

##
Obtuse oblique triangles can either have ___ or ___ triangles

How can you tell

###
One, no

The side opposite the largest angle must be the largest side

19

##
What is the area of an oblique triangle

When can this equation be used

###
Area=1/2bcsinA

SAS

20

## An _____ triangle is a triangle that has no right angle

### Oblique

21

## For triangle ABC, the law of sines is a/sinA=_______=c/sinC

### B/sinB

22

## Two ____ and one ____ determine a unique triangle

### Angles, side

23

## The area of an oblique triangle is 1/2bcsinA=1/2absinC=_______

### 1/2acsinB

24

##
Given A=36 degrees and a=5

What is one possible combination for one solution, two solutions, and no solution

###
One solution- 5 is greater than or equal to b, b=5sin36

Two solutions- 5 is less than B and B is less than 5/sin36

No solution- b is greater than 5/sin36

25