Question

find tp if pd = 1 and td = 3.

Explanation:

Step1: Use the Pythagorean theorem

In right - triangle \(TPD\), the Pythagorean theorem states that \(TP^{2}+PD^{2}=TD^{2}\). We can rewrite it to solve for \(TP\): \(TP=\sqrt{TD^{2}-PD^{2}}\).

Step2: Substitute the given values

We know that \(PD = 1\) and \(TD=3\). Substitute these values into the formula: \(TP=\sqrt{3^{2}-1^{2}}=\sqrt{9 - 1}=\sqrt{8}=2\sqrt{2}\).

Answer:

\(2\sqrt{2}\)