For this triangle in particular, we can use the special rules of a 30-60-90 triangle
This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x
We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4
Now that we have our 30° side length we can just multiple it by sqrt(3)
That means your x = 4 sqrt(3)
The 3rd answer because -3 is the smallest y intercept
the answer is in the attachment
Hope it helps
Answer:
7.2 m²
Step-by-step explanation:
Use the appropriate area formula, fill in the given values, and do the arithmetic.
A = (1/2)ab·sin(C)
where "a" and "b" represent triangle side lengths and C is the angle between them.
A = (1/2)(4 m)(8.5 m)sin(25°) ≈ 7.2 m²