Above are two different models of the same television. If the screen in the model on the left has a 12-cm diagonal, what is the diagonal of the screen in the model on the right?
To find the diagonal of the screen in the model on the right, we can use the concept of similar triangles. The two models are similar, so the ratio of corresponding sides is the same.
Let x be the diagonal of the screen in the model on the right.
Using the ratio of diagonals from the two models:
12 / x = 3 / 4
Cross multiplying:
12 * 4 = 3 * x
48 = 3x
Dividing by 3:
x = 16
Therefore, the diagonal of the screen in the model on the right is 16 cm.