The figure below depicts a triangle formed by the labeled vertices. If each vertex point of the triangle is multiplied
by what would be the area of the resulting triangle?
(Triangles, Book 2)
(3, 3)
0.0)
09
0 13.5
0 15
18
O 27

9514 1404 393

  (b)  13.5

Step-by-step explanation:

The upper vertex would be ...

  3/2(3, 3) = (4.5, 4.5)

and the right vertex would be ...

  3/2(4, 0) = (6, 0).

The base of the larger triangle would be 6, and its height would be 4.5. Then the area is ...

  A = (1/2)bh

  A = (1/2)(6)(4.5) = 13.5 . . . area of dilated triangle

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