Question

X Y Z and right angled triangle with angle is equal 90 degree is equal to 9 cm and y z is equal to 12 cm Oxford is perpendicular to y z find o x​

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 * XZ   = (1/2)YZ*OX

=> XY *XZ = YZ * OX

=> 9 * 3√7 = 12 * OX

=> 9√7 / 4 = OX

OX = 9√7 / 4  cm