Quick Answer: How Do You Know If Its Acute Or Obtuse?

How do you distinguish between acute and obtuse triangles?

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..

What does an obtuse triangle look like?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

Which Triangle is a 30 60 90 Triangle?

right triangleA 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees.

How do you find an acute triangle?

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse: Square all 3 sides. Sum the squares of the 2 shortest sides. Compare this sum to the square of the 3rd side.

How do you know if a triangle is obtuse?

You can calculate an obtuse triangle using the lengths of the triangle’s sides. Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together. For example, if the lengths of the sides measure 3 and 2, then squaring them would result in 9 and 4.

What is an example of an obtuse angle?

An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°. Examples of obtuse angles are: 100°, 120°, 140°, 160°, 170° etc. ∠ PQR is an obtuse angle because its less than 180° and greater than 90°.

Can an obtuse triangle be a right triangle?

A right triangle cannot be obtuse because of the sizes of the angles therein. Any triangle has three sides, three angles, and three angles that equal…

Can a triangle have two right angles?

Answer and Explanation: Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.

How do you identify an acute triangle?

Classifying Triangles You can determine whether a triangle is acute, right, or obtuse by its side lengths. In TABC with longest side c: If c2 a2 b2, then TABC is acute. If c2 a2 b2, then TABC is right.

How can you tell the difference between triangles?

A triangle is scalene if all of its three sides are different (in which case, the three angles are also different). If two of its sides are equal, a triangle is called isosceles. A triangle with all three equal sides is called equilateral.