Question

I will give lots of points please help me

Answer 1

• sin30=XY/XZ
• 1/2=XY/12
• XY=6

#B

• Cos30=YZ/XZ
• √3/2=YZ/12
• YZ=6√3

Another way is using Pythagorean theorem

• YZ²=XZ²-XY²

Answer 2

Part A: 6

Part B: 6√3

Explanation:

Part A:

Since one angle measures 30°, and another angle is a right angle measuring 90°, the third angle measures 60°.

In a 30-60-90 the short leg is half of the hypotenuse.

YX = 12/2 = 6

Part B:

Method 1:

In a 30-60-90 triangle, the length of the long leg is √3 times the length of the short leg.

YZ = 6√3

Method 2:

Use the Pythagorean theorem.

a² + b² = c²

6² + (YZ)² = 12²

(YZ)² = 108

YZ = √(108)

YZ = √(36 × 3)

YZ = 6√3