The longer leg of a 30°-60°-90° triangle is 16 sqrt 3. how long is the shorter leg

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given :

Perpendicular = 16√3

Base = ?

TanA = Perpendicular/Base

Tan60° = 16√3/Base

√3 = 16√3/Base

Base = 16√3/√3

Base = 16

 

Hence, Length of shorter leg is 16