# What are the characteristics of an isosceles triangle?

Basic Properties. Because angles opposite equal sides are themselves equal, an isosceles triangle has two equal angles (the ones opposite the two equal sides). Thus, given two equal sides and a single angle, the entire structure of the triangle can be determined.

Subsequently, one may also ask, why is a triangle isosceles?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

What are the properties of an isosceles triangle?

Convex polygonCyclic

What is the shape of isosceles triangle?

An equilateral triangle has got 3 sides of equal length and 3 angles that are equal. An Isosceles triangle has got two sides of equal length and 2 angles equal. The scalene triangle has got NO sides of equal length and NO angles the same.

## What is an acute isosceles triangle?

An equiangular triangle is a kind of acute triangle, and is always equilateral. In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees.

## How many degrees are there in a triangle?

But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 – 180 = 180 degrees.

## How many lines of symmetry does isosceles triangle have?

A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry.

## What is the definition of acute triangle?

An acute triangle is a triangle with all three angles acute (less than 90°). An obtuse triangle is one with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180°, no triangle can have more than one obtuse angle.

## What is an obtuse triangle?

An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn’t be a triangle.) A triangle must be either obtuse, acute, or right.

## What is a scalene triangle look like?

Because an equilateral triangle is also isosceles, all triangles are either scalene or isosceles. But when people call a triangle isosceles, they’re usually referring to a triangle with only two equal sides, because if the triangle had three equal sides, they’d call it equilateral.

## What are the features of an isosceles triangle?

An isosceles triangle is a triangle that:

• Has two congruent sides.
• Has congruent base angles.
• Has an altitude which: (1) meets the base at a right angle, (2) bisects the apex angle, and (3) splits the original isosceles triangle into two congruent halves.
• ## How many types of triangles are there and what are they?

If a triangle doesn’t have two or three equal angles, it could have zero equal angles. These triangles, which also don’t have any equal sides, are known as scalene triangles. Can you believe that there are three different types of triangles?

## How many degrees are there in a isosceles triangle?

Types of Triangles. The right triangle: The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees

## What is an isosceles triangle angles?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length . An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.

## What is the definition of an isosceles triangle?

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having two and only two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

## What do the sides of an isosceles triangle add up to?

So an isosceles triangle has only got two sides of equal length and two angles the same. In a right angled triangle what must the other two angles add up to? Because all the angles in a triangle add up to 180˚ and a Right Angled Triangle has got one angle of 90˚. A scalene triangle is the easiest of them all.

## What is the degree of an isosceles triangle?

However, this is an isosceles triangle, so two angles must match. Since all triangles have the property that the sum of the measures of their angles is 180, then a 100 degree angle cannot be one of the paired angles, because that puts the total over 200 degrees.

## What are the properties of a scalene triangle?

The most important property of scalene triangles is that they have three sides of different lengths. However, they have some other important properties, too. Like other triangles, all the angles inside a scalene triangle add up to 180 degrees.

## How do you make an isosceles triangle?

Step 1: Draw a straight line QR 6 cm long. Step 2: Using a protractor draw an angle of 50° from Point Q. Step 3: Using a protractor draw an angle of 50° from Point R. The angles opposite the equal sides in an isosceles triangle are equal.

## Can a right triangle be an isosceles triangle?

A right triangle with the two legs (and their corresponding angles) equal. An isosceles right triangle therefore has angles of , , and . For an isosceles right triangle with side lengths , the hypotenuse has length , and the area is .

## What are the types of triangle?

• Equilateral triangle. The Equilateral triangle shown on the left has three equal sides and three equal angles.
• Isosceles triangle. The Isosceles triangle shown on the left has two equal sides and two equal angles.
• Scalene Triangle. The Scalene Triangle has no congruent sides.
• Acute Triangle.
• Obtuse Triangle.
• ## What is the definition of scalene triangle?

A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle. CITE THIS AS: Weisstein, Eric W. “

## What is the definition of a right triangle?

The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

## What is an isosceles trapezoid?

In Euclidean geometry, an isosceles trapezoid (isosceles trapezium in British English) is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. It is a special case of a trapezoid.