# Geometry

In triangle ABC, side a=7, b=6, and c=8. Find the measure of angle B to the nearest degree.

1. 👍
2. 👎
3. 👁
1. use the cosine law in this form

6^2 = 7^2 + 8^2 - 2(7)(8)cos B

let me know if you don't get angle B = 47°

1. 👍
2. 👎

## Similar Questions

Determine whether you can construct many, one, or no triangle(s) with the given description. a) a triangle with angle measures of 50°, 70°, and 100° no b) a triangle with one angle measure of 60° and one 4-centimeter side no

2. ### Geometry

Find the measure of each side of isosceles triangle ABC with AB = BC if AB = 4y , BC = 3y + 2 , and AC = 3y.

3. ### geometry

if ray bd bisects angle abc measure of angle dbc=79 degrees, and measure of angle abc=9x-4, find the value of x

4. ### Math,geometry

Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle ABP$, and $\angle ABC - \angle ACB = 39^\circ$. Find $\angle PBC$ in degrees.

1. ### MATH

Use the figure to answer the following questions. figure for questions 1–3 1. Name a pair of complementary angles. (1 point) angle sign1 and angle sign4 angle sign1 and angle sign2 angle sign3 and angle sign4 angle sign1 and

2. ### geometry

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C,

3. ### Geometry

Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin

4. ### geometry

if segment bd bisects angle abc. the measure of angle abc=7x. the measure of angle abd=3x+25 find the measure of angle dbc

1. ### MATH HELP PLZ

in RIGHT triangle abc the radian measure of angle c is pi/6, what is the length of bc? ab = 2 i was thinking of taking the sin of pi/6 since bc is the y axis. but it does not match the answer of 2 root 3 I would have to know where

2. ### geometry

Equilateral triangle ABC and isosceles triangle DBC share side BC. If angle BDC= 34 and BD=BC, what is the measure of angle ABD? I don't know how to solve this questions, can someone guide me through?

3. ### Geometry

Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin

4. ### Math

∆ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices. The measure of the longest side of ∆ABC is units. ∆ABC is triangle. If ∆ABD is formed with the point D(1, 2) as its third vertex, then ∆ABD is triangle.