Question

ABC is a right triangle. If AC=4 and BC=10, find AB. Leave your answer is the simplest radical form. ​

Answer 1

• √116 or √84

Explanation:

ABC is a right triangle

• AC=4, BC=10, AB = ?

Here we have two options:

1. AB is hypotenuse, then:

• AB =
  `√(AC^2 + BC^2) = √(4^2 + 10^2) = √(16 + 100) =√(116)`

2. BC is hypotenuse and AB is the second leg, then:

• AB =
  `√(BC^2 - AC^2) = √(10^2 - 4^2) = √(100 - 16) = √(84)`