Answer:
7.)
Therefore FT is 33 unit.
8.)
Therefore SU is 98 unit.
Step-by-step explanation:
7.)
Given:
ΔFUT ~ ΔFHG
FU = 39
FH = 130
FG = 110
To Find:
FT = ?
Solution:
ΔFUT ~ ΔFHG ............Given
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit[/tex]
Therefore FT is 33 unit.
8.)
Given:
ΔSTU ~ ΔFED
ST= 63
FE = 9
FD = 14
To Find:
SU = ?
Solution:
ΔSTU ~ ΔFED ............Given
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit[/tex]
Therefore SU is 98 unit.
