Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
1. x=50 2. x=4 hope this helps:)
Nr of chocolates = c
nr of bags of 5 = a
nr of bags of 7 = b
50<c<70
c=5*a+2
c= 7*b-1 therefore b can be max 10 (if b=11 then c=76>70 can't do)
let's say b=10 then c=69 but in this case a=13.4 not integer (also can't do)
let's say b=9 then c=62 then a = 12 wich is ok
solution 1 c=62
let's also try for b=8 wich means c=55 and a=10.6, not integer, not ok again
and also for b=7 wich means c=48 but 48<50 so no go again and also for b<7 wich means c will grow smaller and smaller
so the only solution is c=62
After solving it, I got 10^3sqrt6 Hope this helps