Answer:
[tex]KH = 55[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find KH
From the attachment:
[tex]GD = 13[/tex] [tex]DE = 7[/tex]
[tex]HI = 29.4[/tex]
To find KH, we make use of the following equivalent ratio:
[tex]GD : DE = KH : HI[/tex]
Substitute values for GD, DE and HI
[tex]13 : 7 = KH : 29.4[/tex]
Convert to fractions
[tex]\frac{13}{7} = \frac{KH}{29.4}[/tex]
Make KH the subject
[tex]KH = \frac{13}{7} * 29.4[/tex]
[tex]KH = \frac{13* 29.4}{7}[/tex]
[tex]KH = \frac{382.2}{7}[/tex]
[tex]KH = 54.6[/tex]
[tex]KH = 55[/tex] --- approximated
