Question

Question 3 20 pts 17 A What is the length of BC? O 15 units 9 units 11 units O 16 units. What is the answer.

Answer 1

The length of BC is;

`15\text{ units}`

Step-by-step explanation:

Given the Triangle ABC, which is a right angled triangle.

Applying Pythagoras Theorem;

`\begin{gathered} AC^2+BC^2=AB^2 \\ BC^2=AB^2-AC^2 \end{gathered}`

Given;

`\begin{gathered} AB=17 \\ AC=8 \end{gathered}`

Substituting the given values;

`\begin{gathered} BC^2=17^2-8^2 \\ BC^2=289-64 \\ BC^2=225 \\ BC=\sqrt[]{225} \\ BC=15\text{ units} \end{gathered}`

Therefore, the length of BC is;

`15\text{ units}`