Scribd
Upload
2K views2 pages

Anchor Chart Triangles

A triangle is a three-sided polygon with three angles. There are different types of triangles defined by their side lengths or angle measures: equilateral (all sides equal, all angles equal), isosceles (two sides equal, two angles equal), scalene (no sides or angles equal), right (one 90 degree angle), acute (all angles less than 90 degrees), and obtuse (one angle greater than 90 degrees). The hypotenuse is the longest side of a right triangle, opposite the right angle. The Pythagorean theorem states that the square of the hypotenuse equals the sum of the squares of the other two sides.

Uploaded by

Middle Scoool Math
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
2K views2 pages

Anchor Chart Triangles

A triangle is a three-sided polygon with three angles. There are different types of triangles defined by their side lengths or angle measures: equilateral (all sides equal, all angles equal), isosceles (two sides equal, two angles equal), scalene (no sides or angles equal), right (one 90 degree angle), acute (all angles less than 90 degrees), and obtuse (one angle greater than 90 degrees). The hypotenuse is the longest side of a right triangle, opposite the right angle. The Pythagorean theorem states that the square of the hypotenuse equals the sum of the squares of the other two sides.

Uploaded by

Middle Scoool Math
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 2

MsGarciaMath.edublogs.org Triangles .

A triangle is one of the basic shapes of


Triangle

geometry: a polygon with three corners or


vertices and three sides or edges which are
line segments. A triangle with vertices A, B,
and C is denoted ABC.
Isosceles Equilateral
triangle

3 equal sides and 3 equal angles which are


60ᴼ each.
Triangle

Two equal sides and 2 equal angles


Triangle
Scalene

No equal sides nor angles


Triangle
Right

1 right angle, 2 acute angles


Triangle
Acute

3 acute angles
Triangle
Obtuse

1 obtuse angle,
2 acute angles
Hypotenuse

A hypotenuse is the longest side of a right-


angled triangle, the side opposite the right
angle.
MsGarciaMath.edublogs.org Triangles .
Find the hypotenuse of a right triangle if one leg is 3
Pythagorean

The length of the hypotenuse of a right triangle and the other leg is 4
theorem

can be found using the Pythagorean theorem,


which states that the square of The length of the
hypotenuse equals the sum of the squares of the h = 2 x 2 + y 2 = 2 32 + 4 2 = 2 9 + 16 = 2 25 = 5
lengths of the other two sides

A + B + C = 180ᴼ
angle in the

A=40ᴼ, B=30ᴼ
triangle.
Find the
missing

The sum of the three interior angles of a triangle C=180ᴼ-(40ᴼ+30ᴼ) C


is always 180°. C=110ᴼ
40ᴼ 30ᴼ
Triangle

What is the area of a triangle that has a base of 3


Area

inches and a height of 4 inches?


Area = (3x4)/2 = 6 in²
Base of a
Triangle

The base can be any side of a triangle.


The height of a triangle is the perpendicular distance
from the base to the highest point.
Triangle

A triangle has an area of 6 in². The height is 4 in. What


is the length of the corresponding base?
b= (2×A)/h = (2×6)/4 = 3 inches

An Interior Angle is an angle inside the triangle.


Exterior
Angle

An exterior angle is an angle formed by one side of a


triangle and a line extended from an adjacent side.
Properties

Triangle

It is not possible to construct a triangle from three line


The Triangle Inequality Theorem states that the sum
of a

segments if any of them is longer than the sum of the


of any 2 sides of a triangle must be greater than the
other two.
measure of the third side.
Relationship
Angle-Side

The side opposite to the largest angle is the longest


side of the triangle and the side opposite to the
smallest angle is the shortest side of the triangle.

You might also like