Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
[tex]\frac{left}{altitude} =\frac{altitude}{right}[/tex]
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
[tex]\frac{25}{60} = \frac{60}{x}[/tex]
or, [tex](25)(x)=(60)(60)[/tex] [ by cross multiplication]
or, [tex]x= \frac{3600}{25}[/tex]
or, [tex]x=144[/tex]
Hence,
The value of x is 144.
