Advertisement Remove all ads

ΔDEF ~ ΔMNK. If DE = 5, MN = 6, then find the value of A(ΔDEF)/A(ΔMNK) - Geometry

Sum

ΔDEF ~ ΔMNK. If DE = 5, MN = 6, then find the value of `"A(ΔDEF)"/"A(ΔMNK)"`

Advertisement Remove all ads

Solution

Given: ∆DEF  ∆MNK
by Areas of similar triangles.
`∴ ["A(Δ DEF)"]/["A(Δ MNK)"] = ("DE"^2)/("MN"^2)`

Ratio of areas of Similar Triangles = Ratio of Squares of corresponding sides

`∴ ["A(Δ DEF)"]/["A(Δ MNK)"] = 5^2/6^2 = 25/36`

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

View all notifications


      Forgot password?
View in app×