Respuesta :

Answer:

y = 8

Explanation:

We were given these 2 adjoined right triangles and we are to obtain the value of ''y''

We will proceed to calculate for "y" using the Altitude-on-Hypotenuse Theorem as shown below:

[tex]\begin{gathered} y^2=16\times4 \\ y^2=64 \\ \text{Take the square root of both sides to obtain the value of ''y'', we have:} \\ \sqrt[]{y^2}=\sqrt[]{64} \\ y=8 \\ \\ \therefore y=8 \end{gathered}[/tex]

Therefore, y equals 8