Is the incenter always, never, or sometimes inside the triangle
2 answers:
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Answer:
Step-by-step explanation:
<h3>QUESTION-2:</h3>we are given a right angle triangle
it's a 30-60-90 triangle of which FH is the shortest side
remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus
our equation is
divide both sides by 2
in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle
as we want to figure out GH we'll use sin function
remember that,
let our opp, hypo and be GH, 4√10 and 60° respectively
thus substitute:
recall unit circle:
cross multiplication:
simplify multiplication:
divide both sides by 2:
Recall that, the sum of the interior angles of a triangle is 180°
therefore,
simplify addition:
cancel 150° from both sides