# trig

in triangle ABC, a = 2, b = the square root of 3, and m,angle C = 30 degrees. What is the value of c?

a= 1 b= 2 c= 2square root of 3 d=square root of 3 over 3

1. 👍 0
2. 👎 0
3. 👁 239
You should recognize those numbers as belonging to the 30-60-90° right-angled triangle
which would make c = 1

If you didn't notice that, you could use the cosine law
c^2 = 2^2 + √3^2 - 2(2)(√)cos30°
= 4 + 3 - 4(√3)(√3/2)
= 7 - 6
c^2 = 1
c = 1

Now, of course , in a triangle with sides, 1 , √3, and 2
2^2 = 1^2 + √3^2
so the triangle is right-angled, etc

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### math

In triangle ABC, AB=2 square root 2, BC=8,angle ABC=45 degrees.Find area ABC. a. 4 square 2 b. 8 c. 8 square 2 d. 16 e. 16 square 2 please answer and explain

asked by thomas on May 9, 2014
2. ### math

ABC is an isosceles triangle. AB=BC=6. Angle ABC=120,AC=a square root of b. What is a+b?

asked by jun on December 2, 2016
3. ### math

determine the area of triangle abc when side ab= square root of x, side bc= square root of x, and side ca= the square root of the square root of x. So how do I solve it. How do I add the square root of x + the square root of x +

asked by Gina on October 24, 2006
4. ### Geometry

right triangle ABC B is vertex with right angle

asked by Chloe on January 19, 2017
5. ### Geometry

Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an

asked by Jayden on October 19, 2013
1. ### 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

asked by Phyllis on November 24, 2010
2. ### Math

In triangle ABC, measure of angle A is 30 degrees. AC=4, AB=3 square root of 3. Find BC.

asked by Gems on October 24, 2016
3. ### geometry

Open that link please please help me with my assignments 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. find the area of triangle aef 2. equialateral triangle abc has an area

asked by BARBIE LEE on November 7, 2013
4. ### Trig functions and such

1)Find the exact value of cot(-315) A)1 B)square root of 2 C)square root of 2 over 2 D)2 I chose C 2)Find the exact value of sin(-pi/6) A)-1/2 B)-square root of 3/2 C)-square root of 2/2 D)square root of 2/2 I chose A 3)In

asked by Jon on February 11, 2008
5. ### maths-urgently needed

In right angled triangle ABC angle B=90 degree and AB= root 34 unit. The coordinates of point B and Care (4,2)and (-1,y) respectively. If area of triangle ABC = 17 sq.units, then find value of y.

asked by Anonymous on February 12, 2013

More Similar Questions