Question

What are the answers for 7 and 8??? please help

Answer 1

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

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.

`(FU)/(FH) =(FT)/(FG) \textrm{corresponding sides of similar triangles are in proportion}\\`

Substituting the values we get

`(39)/(130) =(FT)/(110)\\\\FT=(110* 39)/(130)=33\\FT=33\ unit`

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.

`(ST)/(FE) =(SU)/(FD) \textrm{corresponding sides of similar triangles are in proportion}\\`

Substituting the values we get

`(63)/(9) =(SU)/(14)\\\\SU=(882)/(9)=98\\\\SU=98\ unit`

Therefore SU is 98 unit.