Mathematics, 14.07.2019 00:30 algahimnada

Suppose a triangle has two sides of length 14 and 14, and that the angle between these two sides is 122 degrees. what is the length of the third side of the triangle? a. 12.43 b. 18 c. 24.49 d. 22.27

Answers: 2

Show answers

Answers

Answer from: Blakemiller2020

Suppose we have a triangle ΔABC,

Length of AB = 14

Length of AC = 14

Angle ∠BAC = 122 degree

This triangle is isosceles triangle so, angle B = angle C = (180 - 122)/2 = 29

We know the two side and one angle of triangle ABC, here we use Sine Rule.

(In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.)

According to the law,

$\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}$

$\frac{a}{sinA} =\frac{14}{sin29}$

Solve for a

a = 24.49 option C

Answer from: KittyLitty

We may use the Law of Cosines, among other methods,

$c^2 = a^2 + b^2 - 2 ab \cos C = 14^2 + 14^2 - 2(14)(14)\cos 122^\circ$

$c = \sqrt{14^2 (2 - 2 \cos 122^\circ)} = 14 \sqrt{2 - 2 \cos 122} \approx 24.48935$

Choice C

Suppose a triangle has two sides of length 14 and 14, and that the angle between these two sides is

Answer from: Quest

step-by-step explanation:

Well i gotta add 10 letter so hopefully this will do it : )

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Another question on Mathematics

Mathematics, 21.06.2019 14:10

Which linear equations have an infinite number of solutions? check all that apply. (x – 3/7) = 2/7(3/2x – 9/14)8(x + 2) = 5x – 1412.3x – 18 = 3(–6 + 4.1x)(6x + 10) = 7(x – 2)4.2x – 3.5 = 2.1 (5x + 8)

Answers: 3

Answer

Mathematics, 21.06.2019 15:20

Can (3,5 and square root 34) be sides on a right triangle?

Answers: 1

Answer

Mathematics, 21.06.2019 16:30

If 20% of a number is 35, what is 50% of that number?

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

The diagonals of a quadrilaretral intersect at (-1,4). one of the sides of the quadrilateral is bounded by (2,7) and (-3,5) determine the coordinates of the other side in order for the quadrilaretral to be a square.

Answers: 1

Answer

You know the right answer?

Suppose a triangle has two sides of length 14 and 14, and that the angle between these two sides is...

Questions

Mathematics, 23.10.2019 09:50

Which of the following expression have a value of 20? circle all that apply...