Here we will learn how to solve

different types of midpoint theorem problem.

In the adjoining figure, find (i) ∠QPR, (ii) PQ if ST = 2.1 cm. |

**Solution:**

In ∆PQR, S and T are the midpoints of PR and QR

respectively.

Therefore, ST = (frac{1}{2})PQ and ST ∥

PQ.

(i) ∠QPR = ∠RST (Corresponding angles),

i.e., ∠QPR = 55°.

(ii) PQ = 2 × ST = 2 × 2.1 cm = 4.2 cm.

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