229k views
4 votes
What is the length of segment AB in the triangle shown below?

What is the length of segment AB in the triangle shown below?-example-1
User BowPark
by
4.8k points

1 Answer

6 votes

Given:

BC = 8 inches

AC = 17 inches

Let's solve for length of segment AB.

To solve for AB, apply Pythagorean theorem.

We have:


AC^2=BC^2+AB^2

Now, rewrite the equation for AB:


AB^2=AC^2-BC^2

Plug in the values:


\begin{gathered} AB^2=17^2-8^2 \\ \\ AB^2=289-64 \\ \\ AB^2=225 \end{gathered}

Take the square root of both sides:


\begin{gathered} √(AB^2)=√(225) \\ \\ AB=15 \end{gathered}

Therefore, the length of AB is 15 inches.

ANSWER:

15 inches

User Abinaya Selvaraju
by
5.2k points