Question

Please please please help

Answer 1

Answer:

$\boxed{s=3}$

Step-by-step explanation:

Use a proportion to solve for the missing side length - a/c = b/d.

• AB = XY
• BC = YZ

4/2 = 6/s cross-multiply

4s = 12 divide by 4

$\boxed{s=3}$

Answer 2

Answer:

Step-by-step explanation:

Because these triangles are similar, their sides exist in proportion to one another. Their angles are exactly the same. but their sides are proprtionate IF they are similar. We are told they are so setting up the proportion:

$\frac{4}{2}=\frac{6}{s}$ and cross multiply:

4s = 12 so

s = 3

You could also look at the fact that the height of the larger triangle is 4 and the height of the smaller is 2, so the larger is twice as big as the smaller; likewise, the smaller is half the size of the larger (that means the same thing). So if the larger side is 6, half of that is 3.