Mathematics, 01.03.2020 23:43, kwilly60
Complete the proof of the Law of Sines/Cosines.
Triangle ABC with side b between points A and C, side c between points A and B. Segment drawn from point A to point D where D is between points B and C, segment AD is labeled x.
Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _1._ by the definition of altitudes, making triangle ABD and triangle CDA right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _2._ and x = b β
sinC. We also know that x = x by the reflexive property. By the substitution property, _3._. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c.
A)
1. altitudes
2. b β
sinB
3. b β
sinB = c β
sinC
B)
1. right angles
2. b β
sinB
3. b β
sinB =c β
sinB
C)
1. altitudes
2. c β
sinB
3. c β
sinB = b β
sinC
D)
1. right angles
2. c β
sinB
3. c β
sinB = b β
sinC
Answers: 2
Mathematics, 21.06.2019 18:30, amorosoavap5cejz
You receive 15% of the profit from a car wash how much money do you receive from a profit of 300
Answers: 2
Mathematics, 21.06.2019 21:30, shelbysargent11
Complete each statement from the information given and the triangle criterion you used. if the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason βcannot be determined.β carbon - regular hexagon. βcan β
β by
Answers: 1
Complete the proof of the Law of Sines/Cosines.
Triangle ABC with side b between points...
Triangle ABC with side b between points...
Mathematics, 24.04.2020 19:33