Question

I Need The Answer Plz!!! Geometry Is Hard!!!

Answer 1

Answer:

B. 10

Step-by-step explanation:

First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)

Let's first label the leg of the second triangle as y.

Then, we can set up this equation

$\frac{21}{y} =\frac{y}{4}$

Cross multiplying gives us

84=y^2

So, y=sqrt(84) or 2 sqrt(21).

Now, using the pythagorean theorem, we get

4^2+2sqrt(21)^2=x^2

100=x^2

x=10