What is the length of the altitude of the equilateral triangle below?

a^2 + 4^2 = 8^2 --> a = 4·√3

F) 4√3

Step-by-step 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

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.