Question

Find the value of x


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Answer 1

well, if we read the picture a bit it says \(\bf \angle ABC \cong \angle FGH\)
that means all their corresponding sides are equal to each other

that means that 3x-4 will be equals to ?

Answer 2

keep in mind that of the the 2 smaller sides, one is 14, the other is 17
one is slightly longer than the other

Answer 3

12

Answer 4

?

Answer 5

12? there's no side that's 12
all sides are 23, 14, and 17 only
since \(\bf \angle ABC \cong \angle FGH\) that's true for both triangles

Answer 6

well, I should write \(\bf \triangle ABC \cong \triangle FGH\)

Answer 7

you said 3x-4

Answer 8

that equals -12

Answer 9

hmmmm, ok, I'll put it differently
SIDE "3x-4" on FGH, has a twin on ABC
who is her twin?

Answer 10

is not 23, that we can tell right off

Answer 11

is it an even or an odd number?

Answer 12

7

Answer 13

the sides 14 and 17 are very close in length in the picture
so it gets ambiguous

but I'd say the shortest side in FGH is 3x-4
and the shortest side in ABC is?

Answer 14

no clue

Answer 15

look at the \(\bf \triangle ABC\)

Answer 16

17

Answer 17

shortest = smallest

Answer 18

14

Answer 19

so 3x - 4 in \(\bf \triangle FGH\) has corresponding side of 14 on \(\bf \triangle ABC\)

that means those 2 sides are equal to each other, because we know that \(\bf \triangle ABC \cong \triangle FGH\)
thus

3x-4 = 14

now just solve for "x"

Answer 20

6, THANKS

Answer 21

yw