Solution

155250

Problem / game
Pythagoras Perimeters Back to problem
First name
Piyush Pahuja
School
West Island School
Country
Hong Kong
Age
14
Email address
19pahujap2@wis.edu.hk

The Order:
g) a+b+c=12
c) a+b=12−c
a) Squaring both sides: a2+2ab+b2=144−24c+c2
f) By Pythagoras' Theorem, a2+b2=c2
e) Area of the triangle =ab2
d) So 2ab=144−24c
h) Dividing by 2: ab=72−12c
b) So Area of the triangle =36−6c

a=3
b=4
c=5