Mathematics, 01.08.2019 09:40, schneidersamant9242

Given: ∆abc is isosceles m∠acb = 120° m ∈ ab , cm = 12 m∠bmc = 60° find: ab

Answers: 1

Show answers

Answers

answered: srutkowske1489

AB length is 24 cm

Further Explanation The first step, find the length of BM

Given length CM = 12 cm

and length CB = 12 sqrt 3

sin 60 ° = CB / BM

1/2 sqrt 3 = 12 sqrt 3 / BM

BM = 1/2 sqrt 3 * 12 sqrt 3

BM = 18 cm

Then find the length of the MA

sin 30 ° = CM / MA

1/2 = 12 / MA

MA = 1/2 * 12

MA = 6 cm

So, the length of AB is BM + MA = 18 cm + 6 cm = 24 cm

A triangle is the name of a shape made from three sides in the form of a straight line and three angles. The mathematician Euclid who lived around 300 BC found that the sum of the three angles on a triangle on a flat plane was 180° degrees. This allows us to calculate the magnitude of one angle when the other two angles are known.

Classification of triangles

According to the length of the sides:

The equilateral triangle is a triangle whose sides are the same length. As a result, all angles are equal, which is 60 °. Isosceles triangle is a triangle whose two sides are the same length. This triangle has two equal angles. An arbitrary triangle is a triangle whose sides have different lengths. Big all the angles are also different.

According to the biggest angle:

A right triangle is a triangle whose angle is equal to 90°. The side in front of the 90° angle is called the hypotenuse or the hypotenuse. An acute triangle is a large triangle, all angles <90° An obtuse triangle is a large triangle with an angle of> 90°

Learn More

Triangle Formula

Find a length from part triangle

Details

Class: Middle/High School and College

Subject: Mathematics

Keyword: degrees, angles, triangle

answered: unknown6669

Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
2x+120=180

Solving for x we get: x=30

Now we use the law of sine on the triangle BMC like this:
$\frac{12}{\sin30} = \frac{BC}{\sin 60}$
Solving for BC we get : BC=20.7

We apply the law of sin again on the isosceles triangle ABC like this:
$\frac{AB}{\sin 120} = \frac{20.7}{\sin 30}$
Solving for AB we get:
AB=36

answered: Guest

the answer is. -82562234434584

step-by-step explanation:

answered: Guest

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:00, powellkhalil58

Determine the quotient and remainder when (6a3)+11a2-4a-9) is divided by (3a-2) express your answer in the form q(a) + r(a)/d(a)

Answers: 2

continue

Mathematics, 21.06.2019 16:00, kissesforlester7097

Given right triangle xyz, which correctly describes the locations of the sides in relation to

Answers: 1

continue

Mathematics, 22.06.2019 01:30, peterradu47781

Talia grouped the terms and factored out the gcf of the groups of the polynomial 15x2 – 3x – 20x + 4. her work is shown below. (15x2 – 3x) + (–20x + 4) 3x(5x – 1) + 4(–5x + 1) talia noticed that she does not have a common factor. what should she do?

Answers: 1

continue

Mathematics, 22.06.2019 03:50, mooncake9090

One vertex of a polygon is located at (3,-2). after a rotation, the vertex is located at (2, 3). which transformations could have taken place? check all that apply. - ro, 90" ro, 180" ra, 220v ro, -80" | ro, -27ợ"

Answers: 3

continue

Do you know the correct answer?

Given: ∆abc is isosceles m∠acb = 120° m ∈ ab , cm = 12 m∠bmc = 60° find: ab...