Answer:
Part A: 6
Part B: 6√3
Step-by-step 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)
#B
Another way is using Pythagorean theorem
x | y
10 1 = 1/2 (10) -4=5-5= 1
-2 -5 = 1/2(-2)-4=-1-4= -5
4 -2 = 1/2(4)-4=2-4= -2
-8 -8 = 1/2(-8)-4=-4-4= -8
Answer: -7n^2-6n-8
B