Question

In the diagram, Triangle ABC ~ Triangle ACD. If AD = 12 and DB = 15, What is AC?

Answer 1

AC = 9

Explanation:

We solve using Pythagoras Theorem

The formula is given as:

a² + b² = c²

Where:

AC = a = ?

AD = b= 12

DB = c = 15

Hence,

a² + 12² = 15²

a² = 15² - 12²

a² = 225 - 144

a² = 81

Square root both sides

√a² = √81

a = 9

Hence, AC = 9