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natta225 [31]
3 years ago
14

HELP, PLEASE I NEED IT! π∆πApplying the 30-60-90 Theorem, Solve this.​

Mathematics
2 answers:
Bogdan [553]3 years ago
7 0

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=12/y(do cross multiplication?

12*2=y

24=y

for x

using pythagoras theorem

H^2=P^2+B^2

24^2=12^2+B^2

576=144+B^2

576-144=B^2

432=B^2

\sqrt{432}=B

12\sqrt{3}=B

12\sqrt{3}=X1

anastassius [24]3 years ago
5 0

Answer:

'y' would be 24

'x' would be 12\sqrt{3}

Step-by-step explanation:

the ratio of sides in a 30-60-90 triangle is, respectively, 1 : \sqrt{3} : 2

so the side across from the 60 degree angle is \sqrt{3} times the side of the 30°

the side across from the 90 degree angle is double the side of the 30°

so in this problem 'y' would be 24 and 'x' would be 12\sqrt{3}

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