Suppose TOP and TIP are isosceles triangles. Also suppose that TI = 5 and PI = 7 and PO=11.
What is the sum of all possible lengths for TO?
+23253 Since TIP is an isosceles triangle, either TP matches TI, therefore TP = 5
or TP matches PI, therefore TP = 7.
Since TOP is an isoscels triangle, either TO matches PO, therefore TO = 11
or TO matches TP when TP = 5, therefore TO = 5
or TO matches TP when TP = 7, therefore TP = 7.
The sum of all possible lengths for TO = 11 + 5 + 7 = 23.
