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World of Triangles

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					The World Of Triangles

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Triangles


A triangle is a 3sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°.

Acute Triangles


A triangle in which all three angles are less than 90°.

Obtuse Triangles


An obtuse triangle is a triangle in which one of the angles is greater than 90°.

Right Triangles


A right triangle is triangle with an angle of 90°.

Scalene Triangles


A triangle with three unequal sides.

Isosceles Triangles


An isosceles triangle is a triangle with (at least) two equal sides.

Isosceles Triangle Theorem


The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Equilateral Triangles


An equilateral triangle is a triangle with all three sides of equal length.

Equiangular Triangles


An equiangular triangle is a triangle which has three equal angles.

Congruent Triangles




Congruent triangles are triangles whose corresponding angles and sides are congruent. They are exactly the same size and shape.

The Hypotenuse


The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.

The Pythagorean Theorem


For a right triangle with legs a and b and hypotenuse c, a2+b2=c2.

Triangle Quiz


Please complete the following quiz that covers the information that was just presented to you.

Question 1


If a triangle has three unequal sides it is a ______ triangle.

 



Answer:


A) Scalene

A) Scalene B) Obtuse C) Isosceles

Question 2


A triangle which has three equal angles is a ______ triangle.

 



Answer:


C) Equiangular

A) Acute B) Equilateral C) Equiangular

Question 3


A triangle with (at least) two equal sides is a ______ triangle.

 



Answer:


B) Isosceles

A) Scalene B) Isosceles C) Congruent

Question 4


Two triangles that are equal are called ______ triangles

 



Answer:


C) Congruent

A) Acute B) Obtuse C) Congruent

Question 5


A triangle with all three sides of equal length is a ______ triangle.

 



Answer:


A) Equilateral

A) Equilateral B) Right C) Equiangular

Question 6


A triangle with an angle of 90° is a ______ triangle.




Answer:


B) Right




A) Acute B) Right C) Congruent

Question 7


A triangle in which all three angles are less than 90° is a ______ triangle.

 



Answer:


B) Acute

A) Right B) Acute C) Scalene

Question 8


A triangle in which one of the angles is greater than 90° is a ______ triangle.

 



Answer:


A) Obtuse

A) Obtuse B) Isosceles C) Acute

Question 9


What is the Hypotenuse of a right triangle?




Answer:






A) The smallest angle. B) The side opposite the right angle. C) The right angle.

B) The side opposite the right angle.

Question 10


The Pythagorean Theorem states …
 



Answer:


C) a2+b2=c2



A) pr2 B) (a+b)2/2=c C) a2+b2=c2

Question 11


Use the Pythagorean Theorem to solve the following:

 



Answer:


c = 13

a= 5 b = 12 c=?


				
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