Question

In ΔABC, m∠B=90, BM⊥AC, M ∈ AC. If AM – MC=7, AB²–BC²=175, find AC.

Answer 1

In the attachment I have answered this problem.

Concept:
Pythagoras theorem:

In the right angled triangle square on the hypotenuse is equal to sum of the squares on the other two sides

See the attachment for detailed solution