Solution

155270

Problem / game
Pythagoras Perimeters Back to problem
First name
Sonia
School
West Island School
Country
Hong Kong
Age
13

a+b+c=30

a+b =30+c

By Pythagoras Theorem a²+b²+c²

Squaring both sides: a²+2ab+b²=900-60c+c²

So 2ab=900-60c

Dividing by 2:ab=450-30c

Area of the triangle=ab/2

So area of the triangle=225-15c