Answer:
F) 4√3
Explanation:
The altitude of the triangle creates a right triangle. The right triangle has a leg of 4 and a hypotenuse of 8. Using the Pythagorean theorem,
a²+4² = 8²
a²+16 = 64
Subtract 16 from each side:
a²+16-16 = 64-16
a² = 48
Take the square root of each side:
√(a²) = √(48)
a = √(16*3)
a = 4√3