Question

Xyz is a right angled triangle with x=90°, xy=9cm and yz=12cm. Ox is purpendicular to yz. Find ox

Answer 1

Answer:

Answer:

OX = 9√7 / 4  cm

Step-by-step explanation:

XYZ is a right angled triangle with X=90°, XY=9cm, and YZ=12cm

(YZ)²  = (XY)² + (XZ)²

=> 12² = 9² + (XZ)²

=> 144 = 81 +  (XZ)²

=> 63 =  (XZ)²

=> XZ = √63

=> XZ = 3√7  cm

Area of Triangle  ΔXYZ  = (1/2)XY * XZ   = (1/2)YZ*OX

=> XY *XZ = YZ * OX

=> 9 * 3√7 = 12 * OX

=> 9√7 / 4 = OX

OX = 9√7 / 4  cm