April 20, 2014

Homework Help: for Knights

Posted by Reiny on Tuesday, January 1, 2013 at 11:49am.

have been looking at your post ...

interesting question...

let the altitude of 12 hit base a
let the altitude of 14 hit base b

then (1/2)(12)a = (1/2)(14)b
6a = 7b
a = 7b/6

let the third side be c and its altitude be x

from the properties of the sides of a triangle
c < a+b
c < 7b/6 + b
c < 13b/6

but by area property
cx = 7b or cx = 6a

take cx = 7b
the absolute maximum value that c could be is a number just a "smidgeon" less than 13b/6 , which is positive , so divide both sides of
cx = 7b by that

cx/c < 7b / (13b/6)

c < 42/13

since you want the largest integer, that would be 3

( I am a little uneasy about my last division of the inequality)

Answer this Question

First Name:
School Subject:

Related Questions

society - Please only post your questions once. Repeating posts will not get a ...
algebra - find the value of x and y x+y=12 45x+52y=561 Please only post your ...
science - A new plant, growing from a single leaf, is an example of sexual ...
knights-european studies - What were knights social class in medieval times?
Decision Making - I can't decide on an event that would have been a rational ...
world religons - Can someone help me I am looking for a Christmas carol that ...
Science - No, No, and not possible. ditto! Was the first hydrogen bomb test near...
Social Studies 8R help!!!! - What were the goals of (a) the Knights of Labor? (b...
statistics - it has been reported that 40% of all internet users have been ...
Science - Lack of oxygen in a pond may be a limiting factor. True or False? ...