Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What is the sum of all possible lengths for TP?

The sum of all possible lengths for TP is 12

Step-by-step explanation:

Given that triangle TIP and triangle TOP are isosceles triangles with sides;

TI = 5, PI = 7, PO = 11

Therefore, given that triangle TIP is an isosceles triangle, the length of segment TP will be equal either the length of segment TI or segment PI which give;

TP = TI 5 or TP = PI = 7

The sum of all possible lengths for TP is given by the sum of the two unequal sides of triangle TIP which gives;

The sum of all possible lengths for TP = 5 + 7 = 12.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17