Answer:
The value of t that satisfies the equation and makes triangle ABC an isosceles triangle is 9 cm.
Explanation:
Since triangle ABC is an isosceles triangle, we know that the lengths of AB and AC are equal. Using the lengths given in the diagram, we can set up an equation:
AB = AC
4t - 7 = 2t + 11
Now we can solve for t:
4t - 7 = 2t + 11
2t = 18
t = 9
Therefore, the value of t that satisfies the equation and makes triangle ABC an isosceles triangle is 9 cm.
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