If tan(θ)=12/5 in a right-angled triangle, what is the length of the hypotenuse?
Show answer & explanation
Correct answer: A
Explanation
Given:
tan θ = 12/5
By the formula:
tan θ = perpendicular / base
perpendicular : base = 12 : 5
Hypotenuse = √(12² + 5²)
= √(14² + 25)
= √169
= 13