Mathematics, 01.08.2019 09:40 schneidersamant9242

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

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Answer from: 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

Answer from: 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

Answer from: Quest

70.30

step-by-step explanation:

Answer from: Quest

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

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