Question

Solve similar triangles can someone please answer help

Answer 1

k=3.5

Explanation:

1. Understand which lines are similar in the triangles. In this case, because we can see that the line YX is a hypotenuse and line QP is a hypotenuse we can see that YX and QP are similar. Therefore, we can see that YZ is similar to QR and ZX is similar to RP.

2. For finding an unknown side for similar triangles, you use the equation
`(x)/(y) =(a)/(b\\)` where x(also known as k) is the unknown side (QR), y is the similar side to the unknown(YZ), a is a known side(Let's use RP), and b is the similar side to the known side (In this cause, it would be ZX).

2. Plugging all the sides into the equation, it should turn into
`(x)/(10.5) =(5.5)/(16.5)`.

3.After cross-multiply, you should get 16.5x=10.5×5.5 or 16.5x=57.75.

4. Then by dividing 16.5 on both sides, you should get 3.5