Question

Prove that corresponding medians of two similar triangles are proportional to the corresponding sides of the triangle

Answer 1

:

,

ℂ

Δℂ~Δℙ ℚℝ

ℂ ℂ .

 

∠=∠ℙ, ∠=∠ℚ, ∠ℂ=∠ℝ

Δ Δℙ ℚ

ℙ .

, = ℂ , ℚ = ℝ

→→ [Δℂ~Δℙ ℚℝ]

∠=∠ℚ→→→Δℂ~Δℙ ℚℝ

Δ ~ Δℙ ℚ →→→[]

Answer 2

In a pair of similar triangles, thecorresponding sides are proportional.Corresponding sides touch the same two angle pairs. When the sides are correspondingit means to go from one triangle to another you can multiply each side by the same number.