Question

XYZ is a right angled triangle with angleX = 90 degree, XY = 9 cm, andYZ = 12 cm. OX is perpendicular to YZ findOX ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

from given

∆XYZ and ∆OXZ are similar triangles

because, XZ is common, angle X in ∆XYZ and angle O in ∆OXZ are right angles and angle z is common in both ∆s.

two angles and one side proves triangles are similar.

with this we can say

OX/XY= XZ/YZ

for XZ use Pythagoras theorem,

XZ²= YZ²- XY²= 12²- 9²= 144- 81= 63

XZ= √(63)= 3√7

Now, OX= XZ×XY/YZ

OX= 3√7× 9/ 12= 27√7/12= (9√7)/4 cm