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THE TRUTH ABOUT TRIANGLES

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This guide explores the fascinating world of triangles by detailing their classifications based on sides and angles. Triangles can be categorized by their sides into three types: scalene (no equal sides), isosceles (two equal sides), and equilateral (all equal sides). Additionally, they can be classified by angles, including acute (all angles less than 90°), obtuse (one angle greater than 90°), and right (one angle equal to 90°). Engage in practice questions to reinforce your understanding and classify various triangles using rulers and protractors.

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THE TRUTH ABOUT TRIANGLES

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  1. THE TRUTH ABOUT TRIANGLES HOW MANY SIDES ARE THERE, AND WHAT IS THEIR ANGLE?

  2. There are two ways to classify triangles: • By their sides • By their angles

  3. Classifying Triangles by their sidesThere are three types: • Scalene • Isosceles • Equilateral

  4. 1. SCALENE • No congruent sides (No sides are equal) 12in.

  5. 2. ISOSCELES • Two of the sides are congruent, (equal) 5 in. 10 in. 10 in.

  6. 3. EQUILATERAL SIDES • Three congruent sides, (all the sides are equal) 9 in.9 in. 9 in.

  7. Classifying Triangles by their AnglesThere are three more types: • Acute • Obtuse • Right

  8. 1. Acute Triangles • Acute Triangles have 3 acute angles 60° 60° 60° 60° 60° 60° 60°

  9. 2. OBTUSE TRIANGLES • Obtuse triangles have one obtuse (greater that 90 °) angle 110° 30°40°

  10. 3. RIGHT TRIANGLES • Right Triangles have one right angle (90°) 45° 90° 45°

  11. Now…let’s practice what we have learned…. • What type of triangle has three congruent sides? • A. Isosceles Triangle • B. Equilateral Triangle • C. Scalene Triangle • What type of triangle has one 90° angle and two acute angles? • A. Acute triangle • B. Obtuse triangle • C. Right Triangle

  12. Classify the following according to sides and angles: and then check your work with the ruler and protractor Scalene, right triangle

  13. Classification #2 Check your answer with the ruler and protractor. Equilateral, acute triangle

  14. Classify the following and check with a ruler and protractor. Isosceles, right triangle

  15. Classify the following by both sides and angles: Equilateral, acute triangle

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