SOLUTION: The sides of a triangle measure 16, 30, and 34. Which type of triangle is it?

Question 730645: The sides of a triangle measure 16, 30, and 34. Which type of triangle is it?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Types of Triangles:
: The Isosceles triangle shown on the left has two equal sides and two equal angles.
: The Equilateral triangle shown on the left has three equal sides and three equal angles. Each angle is �
: The Scalene Triangle has no congruent sides. In other words, each side must have a different length.
: The Obtuse Triangle has an obtuse angle (an obtuse angle has more than �).
: The Acute Triangle has three acute angles (an acute angle measures less than �)
: A right triangle has one �.
you are given: the sides of a triangle measure , , and
as you can see, all sides are different in length; so, your triangle is NOT an Isosceles nor Equilateral triangle
it could be Scalene (because has no congruent sides), could be Obtuse (might have an obtuse angle),could be Acute (might have an Acute angle), or could be Right Triangle (might have an right angle angle).
let's check first is it Right Triangle because we can do it using Pythagorean theorem:
let's sides and be legs, and hypotenuse
then we have if this true, we have a Right Triangle

...so, this is true and your triangle IS

but, it is also a scalene triangle with a right angle

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