Respuesta :
Answer:
C) 32√3 in^2
Step-by-step explanation:
Area of the parallelogram = base * height
Given: base = AB = 8 in.
We need to find the height using 30-60-90 triangle ratio 1: 2:√3
In this case, height = 8√3
Now we have to multiply base 8 and height 4√3
Area of the parallelogram =8 *4√3
= 32√3 in^2
Answer: C) 32√3 in^2
Hope this will helpful.
Thank you.
Answer:
The correct option is C. 32√3 inches²
Step-by-step explanation:
Given : Base = AB = 8 inches
We need to find the height of the parallelogram :
m∠A = 30°
So, to find height use 30 - 60 - 90 triangle ratio 1 : 2 : √3
So, The side opposite to height is half of the base
⇒ Side opposite to height = 4 inches
⇒ Height is equal to the √3 times of its opposite side
⇒ Height = 4√3 inches
Area of the parallelogram = base × height
⇒ Area of the parallelogram = 8 × 4√3
= 32√3 inches²
Hence, The correct option is C. 32√3 inches²
