Question

ABC and △PQR are equilateral triangles. If AB = 8, PQ = 6, then A(△ABC) : A(△PQR) = ____ *


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Answer 1

Step-by-step explanation:

area of equilateral triangle =(√3/4)a²

area(∆abc):area(∆pqr)=(√3/4)8²:(√3/4)6².

if you multiply each ratio with 4/√3 you will get

=8²/6² = 64/36 = 32/18 = 16/9 =16:9