Algebra problem (18)


Problem

Calculate the area of triangle ABC , see picture:



Four triangle areas within ABC are known, two are not.
Before solving this problem a rule is of help.

Rule




Solution

Repeated application of above rule:



The area of ΔABC is 260+180+165+195+234+286 = 1320.

Note:
Use [LinEq] to solve the equations with x and y.