The corresponding angles in △ABC are congruent to the corresponding angles in △FGH. The measures of two corresponding sides of t

Question

Westkost [7]

3 years ago

8

The corresponding angles in △ABC are congruent to the corresponding angles in △FGH. The measures of two corresponding sides of t

he triangles are given:
AB=4
AC=6
FG=x+11
FH=7x

What is the length of FH?

Mathematics

1 answer:

Lina20 [59] · Answer 1 · 2022-01-26T22:45:50+03:00

Since <span>The corresponding angles in △ABC are congruent to the corresponding angles in △FGH, so they are similar triangles. in a similar triangles, their corresponding sides are in proportion.
so AB / AC = FG / FH
substitute the given values
4 / 6 = x + 11 / 7x
then solve for x
28x = 6x + 66
22x = 66
x = 3

so the value of FH = 7x = 7(3) = 31</span>