Identify the similar triangles in the figure then find the value of X. A. Write the similarity statement in the form of triangle~triangle. B. What is the value of X.

Question

asked Apr 20, 2022 154k views

1 Answer

Ivan Borshchov · Answer 1 · 2022-04-25T01:35:33+0000

Answer:

x = 8

Explanation:

∠ B ≅ ∠ D

∠ A ≅ ∠ C

Then

Δ BAD ≅ Δ DCE ( AA postulate )

Then the ratios of corresponding sides are equal, that is

(BA)/(DC) =
(BD)/(DE) , substitute values

(x)/(4) =
(12)/(6) = 2 ( multiply both sides by 4 to clear the fraction )

x = 8