# Test Preparation (Intermediate 2)

## No 01

Triangle ABC has sides $$a, b, \text{ and } c$$. For this triangle, four statements are made:

(i)  If $$b^2 = a^2 - c^2$$, then $$\angle \text{B} = 90^{\circ}$$

(ii)  If $$c^2 = a^2 + b^2$$, then $$\angle \text{C} = 90^{\circ}$$

(iii)  If $$a^2 = b^2 - c^2$$, then $$\angle \text{B} = 90^{\circ}$$

(iv)  If $$b^2 = a^2 + c^2$$, then $$\angle \text{A} = 90^{\circ}$$

From the statements above, the correct statements are ...

(A)  i and iii

(B)  ii and iv

(C)  ii and iii

(D)  i and iv