Question

Xyz is a right angled triangle with angle x is equal to 90 degree x y is equals to 9 cm and y z is equals to 12 CM x is equal to y z find ox

Answer 1

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 x XZ   = (1/2)YZ x OX

=> XY x XZ = YZ x OX

=> 9 x 3√7 = 12 x OX

=> 9√7 / 4 = OX

OX = 9√7 / 4  cm