Shown is a cube of side length 8. Points B and C are midpoints. The length of the altitude from A to BC (bar over BC) of triangle ABC is ab√ where b√ is reduced to simplest form. What is a+b?

If D is the vertex on the bottom face of the cube below ∆ABC, then ∆BCD is an isosceles right triangle with legs of length 4, so BC has length 4√2.

The right triangles ∆ABD and ∆ACD both have legs of length 4 (on the bottom face) and 8 (the length of AD) so the hypotenuses AB and AC each have length √(4² + 8²) = 4√5.

Then in ∆ABC, the altitude has length x such that

(4√5)² = x² + (1/2 × 4√2)²

80 = x² + 8

x² = 72

x = √72 = 6√2

Presumably, you meant to say that this altitude has length a√b. Then a = 6 and b = 2, so a + b = 8.

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all