240,437 views
18 votes
18 votes
Help me please need help missing lengths​

Help me please need help missing lengths​-example-1
User Enginer
by
2.7k points

1 Answer

14 votes
14 votes

Answer:

Explanation:

Ratio of side of the 30-60-90 triangle is x : x√3 : 2x

Side opposite to 30° is the shortest leg and it is a

Side opposite to 60° is the longest leg and it is a√3

side opposite to 90° is hypotenuse and it is 2a and it the longest side.

7) a = 8 (Which is opposite to 30°)

w = 2a = 2*8

w = 16

v = √3a = √3 *8

v = 8√3

8) a√3 = 5√3 (Which opposite to 60°)

a = 5√3 ÷√3

y = a ⇒y= 5

x = 2a

= 2*5

x = 10

9) hypotenuse = 10

2a = 10

a = 10 ÷ 2

a = 5

x = a√3

x = 5√3

y = a

y = 5

User Onemach
by
2.8k points