As a right triangle has one angle equal to 90∘ , this means the sum of the remaining two angles must be 180∘−90∘=90∘ . Thus,
both of the remaining two angles must have a measure less than 90∘
and therefore must be acute.
Is a right triangle always an acute triangle?
An acute triangle is a triangle in which each angle is an acute angle. Any triangle which
is not acute
is either a right triangle or an obtuse triangle. All acute triangle angles are less then 90 degrees. For example, an equilateral triangle is always acute, since all angles (which are 60) are all less than 90.
Is an acute right triangle possible?
In any triangle, two of the interior angles
Is it possible for a horse pen to be an acute right triangle?
Not possible
. Both acute and right classify a triangle by the angle measure. If the angles are acute, they all must be less than 90 degrees, so there cannot be a right angle.
What is the difference between a right triangle and an acute triangle?
A right triangle has one angle that’s 90° and a corner that looks like an L. Obtuse triangles have one angle that’s greater than 90°. In acute triangles,
all the angles are less than 90°
.
Can an obtuse triangle have a right angle?
A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore,
an obtuse-angled triangle can never have a right angle
; and vice versa. The side opposite the obtuse angle in the triangle is the longest.
What is the shortest side of a 30 60 90 triangle?
Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another. And so on.
The side opposite the 30° angle is always the smallest
, because 30 degrees is the smallest angle.
Is it possible that an acute triangle can have an angle more than 90 degrees?
Acute triangles have
NO angles greater than or equal to 90 degrees
— all their angles are less than 90 degrees. (Acute triangles have all acute angles.)
How do you know if a triangle is acute or obtuse by side lengths?
Correct answer:
To determine whether the triangle is acute, right, or obtuse,
add the squares of the two smaller sides, and compare the sum to the square of the largest side
. Since this sum is greater, the triangle is acute.
Can 1 acute and 2 right form a triangle?
A right triangle will have 1 right angle and 2 acute angles
. An obtuse triangle will have 1 obtuse triangle and 2 acute angles.
How do you know if a triangle is acute obtuse or side lengths?
Since the square of the length of the longest side is the sum of the squares of the other two sides, by the converse of the Pythagorean Theorem, the triangle is a right triangle. A corollary to the theorem categorizes triangles in to acute, right, or obtuse.
if c2>a2+b2 then the triangle is obtuse
.
Does 9 12 and 15 make a right triangle?
Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side.
Only 9, 12, and 15 fit this rule
.
Does 12 16 and 20 make a right triangle?
Does 12 16 and 20 make a right triangle? So we type GCF(12,16,20) and we get
4
. And lo and behold, we get a Pythagorean Triple of 3, 4, 5. So yes, this is a right triangle.
What makes a triangle acute?
An acute triangle (or acute-angled triangle) is a
triangle with three acute angles (less than 90°)
. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.
Can a triangle have one right angle?
‘upright angle’), is a triangle in which
one angle is a right angle
(that is, a 90-degree angle). … The relation between the sides and angles of the right angled is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse (side c in the figure).
