1. Questions

Pre-Calc Helppp!!!

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that B1 is smaller than B2.)

a = 39, c = 40, angle A = 36°

angle B1 = ° angle B2 = °

angle C1 = ° angle C2 = °

b1 = b2 =

  1. 👍
  2. 👎
  3. 👁
John

  1. sin 36/39 = sin C /40
    C = sin^-1(40/39)sin 36 = 37
    B = 180 - A -C = 107

    C could also be in Quadrant 2
    180 - 37 = 143
    then B is 180 - 36 -143 = 1 deg

    sinB/b = sin 36/39 = .0151
    so
    b = sin B/.0151
    b1 = sin 1 /.0151 = 1.16
    b2 = sin 107/.0151 = 63.3

    1. 👍
    2. 👎
    Damon

  2. Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)
    a = 26, b = 32, c = 27

    1. 👍
    2. 👎
    uchechi okoro

Respond to this Question

First Name

Your Response

Similar Questions

  1. trigonometry

    the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65 degree and 40 degree respectively find the two legs. Answer using law of sines pls

  2. Geometry

    Given: LN ⊥ KM LN = 16 ft m∠K = 25°, m∠M = 55° Find: Radius R I drew out triangle LKM in a circle with center O and point N on KM. I tried to use law of sines to get LM and got 27.89514873 but I'm not sure what to do with

  3. 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,

  4. Geometry

    Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. ​4 m, 5.1 m, 12.5 m A. unique triangle******* B. many different triangles C. no triangles Please check my

  1. geometry

    Use the Law of Sines to find the missing side of the triangle. Find b. A. 70.1 B. 43.8 C. 57.1 D. 31.5

  2. Math

    Triangle ABC has coordinates A(-4,-2), B(0,-2), and C(-4,1). Triangle DEF has coordinates D(3,6), E(3,2), and F(0,2). Use coordinate geometry to determine if these two triangles are congruent. If they are not congruent, state the

  3. Algebra 2 with trigonometry

    A baseball diamond is a square 90 feet on a side. The pitcher's mound is 60.5 feet from home. How far does the pitcher have to run to cover first? (we are using the LAW OF SINES AND COSINES)

  4. Math

    Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. ​​20.2 in., 11 in., 8.2 in. A. unique triangle B. many different triangles C. no triangles Hey ya'll! I'm

  1. 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.

  2. Algebra

    Which lengths represent the side lengths of a right​ triangle? Use pencil and graph paper. Draw each triangle to verify your answer. Triangle​ 1: 12​, 9​, 21 Triangle​ 2: 9​, 12, 15 Triangle​ 3: 15​, 36 ​, 39.

  3. Pre-calc Math

    Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than

  4. Trig

    Should the triangle be solved beginning with Law of Sines of Law of Cosines. Then solve the triangle. Round to the nearest tenth. A=56 degrees, B=38 degrees, a=13. Sines. I get confused on the formula. I know C=86 degrees

You can view more similar questions or ask a new question.