Trignometry
posted by Anonymous .
Given Triangle ABC: I think there are suppose to be right triangles...
1) If <A = 30º, and c = 20, find a, b, and <B
2) If a = 10 and b = 14, find c, <A, and <B
3) If a = 6 and <B = 53º, find b, c, and <A
4) If c = 13 and b = 12, find a, <A, and <B
5) If <A = 20º and b = 10, find <B, a and c
6) If c = 30 and <A = 40º, find <B, a, and b

Trignometry 
Henry
I'm assuming all rt triangles.
1. Given: A = 30, c = 20.
a = csinA = 20sin30 = 10,
b = ccosA = 20cos30 = 17.3,
B = 90  A = 90  30 = 60.
2. Given: a = 10, b = 14.
c^2 = a^2 + b^2 = 10^2 + 14^2 = 100 + 196 = 296,
c = sqrt(296) = 17.2
tanA = a/b = 10/14 = 0.7143, A = 35.5,
B = 90  A = 90  35.5 = 54.5.
The remaining problems are similar.
Respond to this Question
Similar Questions

Trigonometry
Given Triangle ABC: Right Triangles 1. If a = 6 and <B = 53º, find b, c, and <A 2. If c = 13 and b = 12, find a, <A, and <B 3. If <A = 20º and b = 10, find <B, a and c 4. If c = 30 and <A = 40º, find <B, … 
Math(Geometry)
In the diagram below(no diagram but details will be provided), right triangle ABC and line BD is an altitude to side line AC. * Prove that (AB)^2=(AC)(AD) When you label the triangle B should be were the right angle is C should be … 
HELP!!!!RIGHT NOW!!!!
Which set of side lengths shows similar triangles? 
geometry
Suppose right triangle ABC has one acute angle 47º. Suppose also that right triangle DEF has an acute angle 43º. How are triangles ABC and DEF related? 
math  trig
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean Theorem and find the following trigonometric functions of the indicated angle. Given: a = 4 … 
Trigonometry/Geometry
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, … 
Trigonometry/Geometry  Law of sines and cosines
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, … 
Precalculus
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, … 
Hard Geometry Problem
Hi guys. I need a lot of help on this. "Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor 2/3. Let K be the area of the region that is within both … 
Geometry
Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) …