In the given figure, O is a point inside m a ΔMNP such that ∠MOP = 90°, OM = 16 cm and OP = 12 cm. If MN = 21 cm and ∠NMP = 90° then NP = ?

Question

In the given figure, O is a point inside m a ΔMNP such that ∠ MOP = 90°, OM = 16 cm and OP = 12 cm. If MN = 21 cm and ∠ NMP = 90° then NP = ?

Philoid · Accepted Answer

The ΔMOP is right angled at O so MP is hypotenuse

(MP)² = (OM)² + (OP)²

(MP)² = (16) ² + (12)²

(MP)² = 400

MP = 20 cm

Δ NMP is right angled at M so NP is the hypotenuse so

(NP)² = (21)² + (20)²

NP = 29