Question

Please help! I know it’s a lot to ask but please show your work so I know how you did it

Answer 1

Answer:

√15

Step-by-step explanation:

Because x is an altitude, the largest triangle is similar to both the triangle on the left half and the triangle on the right half.

The ratio of 3 to x is equal to the ratio of x to 5 (because the triangles are similar, as stated earlier)

You write the following equation to represent it:

$\frac{3}{x}=\frac{x}{5}$, which (when the denominators are multiplied) results in:

$15 = x^{2}$

Which makes x = √15

Answer 2

Take a look at the pic to see how I did the work here.