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

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180