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miskamm [114]
3 years ago
5

A b c or d please hurry thanks!

Mathematics
2 answers:
otez555 [7]3 years ago
8 0

Answer:

C)  a = 10√3, b = 5√3, c = 15 , d = 5

Step-by-step explanation:

Here we use the ratio of 30, 60, 90 degree triangle.

The ratio of sides, 1:√3:2

2x = 10

x = 5

d = 5

b = 5√3

c = 5√3√3

c = 5*3 = 15

c = 15

a = 2(5√3)

a = 10√3

Therefore, a = 10√3, b = 5√3, c = 15 and d = 5

Thank you.

viva [34]3 years ago
8 0

Answer:

The correct answer is C.


Step-by-step explanation:

From the 60\degree right angle triangle

\sin(60\degree)=\frac{b}{10}


10\times \sin(60\degree)=b


10\times \frac{\sqrt{3}}{2}=b


5\sqrt{3}=b

From the same 60\degree right angle triangle,



\cos(60\degree)=\frac{d}{10}


10\times \cos(60\degree)=d


10\times \frac{1}{2}=d


5=d


From the 30\degree right angle triangle



\sin(30\degree)=\frac{b}{a}


\frac{1}{2}=\frac{5\sqrt{3}}{a}


a=2\times 5\sqrt{3}


a=10\sqrt{3}

From the same 30\degree right angle triangle,

\cos(30\degree)=\frac{c}{a}


\frac{\sqrt{3}}{2}=\frac{c}{10\sqrt{3}}


10\sqrt{3} \times \frac{\sqrt{3}}{2}=c



5 \times 3=c


c=15


The correct answer is C.








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