Question

a b c or d please hurry thanks!

Answer 1

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.

Answer 2

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.