Question

use the pythagorean theorem to find y. leave your answer as a simplified radical or as a decimal rounded to the hundredths place. draw 7 y 9

Explanation:

Step1: Write the Pythagorean theorem formula

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 7\), \(b = 9\), and \(c=y\).

Step2: Substitute the values into the formula

$$7^{2}+9^{2}=y^{2}$$
$$49 + 81=y^{2}$$
$$130=y^{2}$$

Step3: Solve for \(y\)

$$y=\sqrt{130}$$
Calculate \(\sqrt{130}\approx11.40\) (rounded to the hundredths place)

Answer:

\(y\approx11.40\)