Answer: Height =9
Step-by-step explanation:
Given: The diagonal of a rectangle has length 15.
Base of the rectangle is 12.
Since each angle in a rectangle is 90°°.
Therefore , th triangle formed by joining diagonal with base and hight is a right triangle.
In right triangle , [tex]Hypotenuse^2=Perpendicular ^2+base^2[/tex] [Pythagoras theorem]
[tex]\Rightarrow\ 15^2=heigt^2+12^2\\\\\Rightarrow\ height^2= 15^2-12^2\\\\\Rightarrow\ height^2= 225-144\\\\\Rightarrow\ height^2= 81\\\\\Rightarrow\ height=9[/tex]
Hence, the height =9
