Advertisement Remove all ads

ΔAbc ∼ δDef and A(δAbc) : a δ(Def) = 1 : 2 If Ab = 4 Find De. - Geometry

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

ΔABC ∼ ΔDEF and A(ΔABC) : A Δ(DEF) = 1 : 2 If AB = 4 find DE.

Advertisement Remove all ads

Solution

(1) Δ ABC ∼ Δ DEF
`(A(DeltaABC))/(A(DeltaDEF)) = (AB)^2/(DE)^2`

`1/2 = 4^2/(DE^2)`

`1/2 = 16/(DE^2)`

∴ `DE^2 = 16 × 2 ∴ DE = 4sqrt2`

Concept: Similarity of Triangles
  Is there an error in this question or solution?
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×