Question

can you help me solve for x​

Answer 1

Answer:

x = √80

Step-by-step explanation:

Let's find the hypotenuse of the top side triangle.

Using the Pyth. Theorem:

Let y be the hypotenuse of the top side triangle:

2^2 + 4^2 = y^2

y = √20

Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .

Using the Pyth.Theorem again, we can find x:

x^2 + (√20)^2 = 10^2

x = √80 .