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Law of cosines

How to get the other angle and one side of the triangle when only the given is a=68, b=42. and beta=20. find this c=, alpha,

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Question. a triangle with two sides 1700mm each with a 45 degree angle. what will the length be of the third side?


If 2 angles are 45 degrees, the other must be 90, so Pythagorus' Theorem applies, so it is sqrt ( 1700^2 + 1700^2 ) = 2404.16
or
for triangles, a / sinA = c / sinC so c = ( 1700 / sin (45) ) * sin (90) = 2404.16.

Oct 31, 2016 | The Educational & Reference Software

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The triangle has 3 congruent angles. does not have a ruler to measure the lengths of the sides. How can she show that the triangle has three congruent sides?


Three congruent angles means it is an equilateral triangle, so by definition it has 3 congruent sides. Or, by the Sine Rule of triangles

a/sinA = b/sinB = c/sinC

and since A = B = C (given) then a = b = c.
.

Apr 08, 2016 | Educational & Reference Software

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A right angle triangle with length of AB 10cm and AC 20cm, how do I find the angle of BC


Assuming that the angle at A is the right angle, Pythagoras' theorem says that the length of the hypotenuse (the side opposite the right angle) is the square root of the sum of the squares of the other two sides. In your case, AB and AC are 'the other two sides' and BC is the hypotenuse, so:

/ 2 2 /
length BC = V 10 + 20 = V 100 + 400


= V 500 = 22.36 cm

(To find the angle at C, you need trigonometry and is arc-tan(10/20)

and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)

Oct 17, 2014 | Educational & Reference Software

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What types of triangles


A triangle with two sides of equal length is an isosceles triangle. The side that is different from the other two is usually called the base, and the two angles at the base are equal.

Aug 01, 2014 | The Learning Company Achieve! Math &...

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How can you classify a triangle according to it angle? is there a formula for it


Well, there is classification by sides, equilateral with 3 equal sides, Isosceles with two equal sides, and scalene with no equal sides, but you talk about angles, but I wanted to point out equilaterals have 3 equal angles, isoceles have 2 equal angles and scalene have no equal angles.
So, now we talk about angles: a Right trianlge has one angle that is 90 degrees, an Obtuse triangle has one angle greater than 90 degrees, and an Acute has no angles over 90 degrees.
Thus, it is possible to have a (scalene or isoceles) AND (acute, obtuse, or right) triangle, but never an equilateral AND (obtuse or right). The angles can't be equal and 90+ degrees if all three must equal 180 degrees.

Oct 06, 2012 | Mathsoft StudyWorks! Middle School Deluxe...

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Can you gave me a example of a right triangle problems?


In right triangle we are making 90 degree angle triangle, we can have problem for finding hypotenuse or finding sin or cos values of the side of the triangle. For ex,Find out the hypotenuse,sin and cos value of the right triangle with base 4 cm and perpendicular 3 cm Solution:Hypotenuse = SQRT(4^2 + 3^2) =SQRT(4*4 + 3*3) =SQRT(16+9)=SQRT(25)=5 cm For right triangle, sin(x)=3/5=0.6 cos(x)=4/5 =0.8

Jul 16, 2010 | Super Tutor Trigonometry (ESDTRIG) for PC

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What is the value of SIN15 degree and COS15 degree.....?


Hi rowanwah

The sine of an angle is only applicable is a right triangle. If you just want a number, ie, the actual value of the sine 15 degrees you can look it up on Google. Do a search for "sine and cosine functions"

If you want the mathematical description of the sine of an angle it is described as follows
In a triangle ABC, there are 3 angles angle A, angle B and angle C. There are also 3 sides, Side AB, Side AC and side BC. The sine of angle A is equal to the side opposite Angle A divided by the Hypotenuse (the longest side opposite the right angle)
The Cosine of angle A is equal to the side adjacent to Angle A divided by the hypotenuse

Hope this helps Loringh PS Please leave a rating for me Thanks

Nov 15, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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Trigonometry


Hi Jehho soria

Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.

so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.

solving for the distance we get distance = 37 divided by the tangent of 37 degrees

Looking up the tangent of 15 degrees on google give .2679

dividing 137 by .2679=138,1 meters

Hope this helps Loringh PS Please leave a rating for me.

Nov 14, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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