Answer:
30
Step-by-step explanation:
SOLUTION:
Given ∆FAI is similar to ∆FTH, let's use ratio and proportion.
[tex] \frac{6}{18} = \frac{x}{20 + x} [/tex]
The ratio above is a ratio of the smaller side to the total length of one side. For example ratio of segment FI to segment FH
Simplifying the equation above:
6(20+x) = 18x
20+x = 3x
20 = 2x
x = 10
Now we know the value of x, let's add it to the length of segment AT to find the total length of segment FT
FT = x + AT
FT = 10 + 20
FT = 30
Sana nakatulong :)
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
30
Step-by-step explanation:
SOLUTION:
Given ∆FAI is similar to ∆FTH, let's use ratio and proportion.
[tex] \frac{6}{18} = \frac{x}{20 + x} [/tex]
The ratio above is a ratio of the smaller side to the total length of one side. For example ratio of segment FI to segment FH
Simplifying the equation above:
6(20+x) = 18x
20+x = 3x
20 = 2x
x = 10
Now we know the value of x, let's add it to the length of segment AT to find the total length of segment FT
FT = x + AT
FT = 10 + 20
FT = 30
Sana nakatulong :)