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THE TRUTH ABOUT TRIANGLES

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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