the world of triangles mohamed attia mohamed copyrigh.mohamedattia120002005.blogspot.com
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The World Of Triangles
Mohamed Attia Mohamed
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Triangles
A triangle is a 3-sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°.
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Acute Triangles
A triangle in which all three angles are less than 90°.
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Obtuse Triangles
An obtuse triangle is a triangle in which one of the angles is greater than 90°.
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Right Triangles
A right triangle is triangle with an angle of 90°.
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Scalene Triangles
A triangle with three unequal sides.
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Isosceles Triangles
An isosceles triangle is a triangle with (at least) two equal sides.
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Isosceles Triangle Theorem
The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
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Equilateral Triangles
An equilateral triangle is a triangle with all three sides of equal length.
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Equiangular Triangles
An equiangular triangle is a triangle which has three equal angles.
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Congruent Triangles
Congruent triangles are triangles whose corresponding angles and sides are congruent.
They are exactly the same size and shape.
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The Hypotenuse
The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.
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The Pythagorean Theorem
For a right triangle with legs a and b and hypotenuse c, a2+b2=c2.
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Triangle Quiz
Please complete the following quiz that covers the information that was just presented to you.
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Question 1
If a triangle has three unequal sides it is a ______ triangle. A) Scalene B) Obtuse C) Isosceles
Answer: A) Scalene
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Question 2
A triangle which has three equal angles is a ______ triangle. A) Acute B) Equilateral C) Equiangular
Answer: C) Equiangular
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Question 3
A triangle with (at least) two equal sides is a ______ triangle. A) Scalene B) Isosceles C) Congruent
Answer: B) Isosceles
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Question 4
Two triangles that are equal are called ______ triangles A) Acute B) Obtuse C) Congruent
Answer: C) Congruent
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Question 5
A triangle with all three sides of equal length is a ______ triangle. A) Equilateral B) Right C) Equiangular
Answer: A) Equilateral
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Question 6
A triangle with an angle of 90° is a ______ triangle. A) Acute B) Right C) Congruent
Answer: B) Right
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Question 7
A triangle in which all three angles are less than 90° is a ______ triangle. A) Right B) Acute C) Scalene
Answer: B) Acute
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Question 8
A triangle in which one of the angles is greater than 90° is a ______ triangle. A) Obtuse B) Isosceles C) Acute
Answer: A) Obtuse
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Question 9
What is the Hypotenuse of a right triangle? A) The smallest angle. B) The side opposite the right angle. C) The right angle.
Answer: B) The side opposite the right angle.
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Question 10
The Pythagorean Theorem states … A) pr2
B) (a+b)2/2=c C) a2+b2=c2
Answer: C) a2+b2=c2
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Question 11
Use the Pythagorean Theorem to solve the following: a = 5 b = 12 c = ?
Answer: c = 13
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