Question

What is the measure of y?416NYXy = [?]Give your answer in simplest form.Enter

Answer 1

y = 8

Step-by-step 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:

`\begin{gathered} y^2=16*4 \\ 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}`

Therefore, y equals 8