Complete the proof of the Law of Sines/Cosines.
Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by 1., making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = 2. and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, 3.. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.

1. definition of altitude
2. c ⋅ sinA
3. c ⋅ sinA = a ⋅ sinC
1. definition of right triangles
2. c ⋅ sinB
3. c ⋅ sinB = a ⋅ sinC
1. definition of right triangles
2. a ⋅ sinA
3. a ⋅ sinA = c ⋅ sinC
1. definition of altitude
2. c ⋅ sinA
3. a ⋅ sinA = c ⋅ sinC

Step-by-step explanation:

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Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There...

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

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