SOLUTION: Area of a right angled triangle is 120 m square. Longest side is 26 m. Find the perimeter

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Question 953777: Area of a right angled triangle is 120 m square. Longest side is 26 m. Find the perimeter
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29bh=120
bh=240
b=240%2Fh
.
.
b%5E2%2Bh%5E2=26%5E2
%28240%2Fh%29%5E2%2Bh%5E2=26%5E2
240%5E2%2B1%2Bh%5E4=26%5E2h%5E2
h%5E4-676h%5E2%2B57600=0
h%5E4-676h%5E2%2B114244%2B57600=114244
%28h%5E4-676h%5E2%2B114244%29%2B57600=114244
%28h%5E2-338%29%5E2=56644
h%5E2-338=0+%2B-+238
h%5E2=576 and h%5E2=100
h=24 and h=10
If
h=24 then,
b=240%2F24
b=10
If
h=10 then,
b=240%2F10
b=24
So then,
P=10%2B24%2B26
P=60m