Question

ΔPQR and ΔXYZ are equilateral triangles. If A(ΔPQR) : A(ΔXYZ) = 1 : 2 . If PQ = 4 , then XY = ?​

Answer 1

Answer:

Explanation:

In the book it states that both triangles are similar (PQR and XYZ). This indicates that PQ corresponds to XY and that PR corresponds to XZ. We set up our equations and then substitute the variables with our given numbers.

PQ/XY = PR/XZ --->6/9=4/XZ

Make sure to simplify and cross multiply:

6/9=2/3

(2/3)(4/XZ)=

XZ=6