1 Answer

Pcmind · Answer 1 · 2022-05-07T01:31:43+0000

Answer:

Formular for the perimeter of a triangle:

perimeter = (side + side + side)

let the first triangle to have perimeter, P

let the second triangle to have perimeter, P'

$P = \{5 + (x - 5) + (x - 4) \} \\ P = \{(x + x) + (5 - 5 - 4) \} \\ { \underline{ P = 2x - 4}}$

and

$P' = \{10 + 16 + (x - 10) \} \\ P' = \{x + (10 + 16 - 10) \} \\ P' = x + 16$

from the question, P = P'

therefore:

$2x - 4 = x + 16 \\ 2x - x = 16 + 4 \\ { \boxed{ \boxed{x = 20}}}$

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