nerdiest

favorite?

incomplete, i believe.

add 37 to all numbers to make first number 1.

1, 8, 15, -------- 147. Pattern is adding 7 everytime. So, 147/7= 21. Remember, everytime you count a list, like {1,2,3,4,5,6,7,8,9}, you have to add 1. 9-1+1=9 numbers. So, 21+1=22, like CPhill (the pro) says.

correct as usual! 

ANSWER BY CPhill:

Use Heron's Formula to find the area

s = the semi-perimeter  =   ( 8 + 12 + 14)  / 2  =    17

Area =  sqrt  [ 17 (17- 8) (17 - 12) ( 17 - 14) ]    =   3sqrt (255)

The longest altitudes will be drawn to the two shortest sides

So

3sqrt (255)   =(1/2)(8) * altitude 1              3sqrt (255)  =(1/2)(12) * altitude 2

(3/4)sqrt (255) = altitude 1                         (1/2)sqrt (255)  = altitude 2

Sum of altitudes   =    [3/4 + 1/2]sqrt (255)  =  1.5 sqrt (255)

POSTED HERE: https://web2.0calc.com/questions/assuming-that-x-isnt-equal-to-1-2-simplify-8x-2-4x-4x-2_1#r3

similar problem: https://web2.0calc.com/questions/right-triangle-trigonometry

Square A area: x^2

Square B area: 4x^2= 16x^2

x/16x^2=1/16

look here: https://web2.0calc.com/questions/help-please_8381