Question: What Is An Example Of An Acute Triangle?

What is a 45 degree triangle?

A 45 – 45 – 90 degree triangle (or isosceles right triangle) is a triangle with angles of 45°, 45°, and 90° and sides in the ratio of.

Note that it’s the shape of half a square, cut along the square’s diagonal, and that it’s also an isosceles triangle (both legs have the same length)..

How do you classify a triangle by its sides?

Classifying Triangles by SidesIf all the sides are equal (the same length) then the triangle is EQUILATERAL. … If 2 sides of the triangle are the same length then the triangles is an ISOSCELES triangle. … If all three sides of the triangle are a different length then the triangle is a SCALENE triangle.

Does 5/12/13 make a right triangle?

Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right…

What is an example of an obtuse triangle?

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. Since, ∠A is 120 degrees, the sum of ∠B and ∠C will be less than 90° degrees.

How do you tell if a triangle is acute or obtuse?

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees.

Is it possible to have a triangle in which two of the angles are acute?

A triangle where all three internal angles are acute (less than 90 degrees). … In any triangle, two of the interior angles are always acute (less than 90 degrees)*, so there are three possibilities for the third angle: Less than 90° – all three angles are acute and so the triangle is acute.

Does the Pythagorean apply to all triangles?

Note that the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle’s other two sides, called the legs.

Can an acute triangle be a right triangle?

In a right triangle, one of the angles is a right angle—an angle of 90 degrees. A right triangle may be isosceles or scalene. … In an acute triangle, all angles are less than right angles—each one is less than 90 degrees. An acute triangle may be equilateral, isosceles, or scalene.

Can you have an acute right triangle?

Note: The angles in an equilateral triangle are also of equal measures (60º each). An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral. A right triangle has one right angle.

What are the characteristics of a obtuse triangle?

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It’s impossible for a triangle to have more than one obtuse angle.

What does an obtuse shape look like?

An obtuse angle is any angle larger than 90 degrees and less than 180 degrees. In other words, if the angle formed where two line segments meet goes beyond a right angle, it’s obtuse. Think of it as a reclined car seat.

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.

What is a real life example of an obtuse angle?

A real life example of an obtuse angle is the front face of a stop sign.

What does acute mean in 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.

How many degrees does an acute triangle have?

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.)

Can a triangle have 2 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.