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Mathematics Worksheet
🔺 Triangles
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After this worksheet you can
Use the triangle angle-sum of 180°.Apply the Pythagorean theorem.Classify triangles by their sides.Classify triangles by their angles.📚 Quick Recap
A triangle is the simplest possible polygon, with just three sides and three angles — yet it's central to almost every area of geometry and trigonometry.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1A triangle has angles 90° and 45°. The third angle is:
2A right triangle has legs 5 and 12. The hypotenuse is:
3A triangle with sides 3, 4, 5 is, by sides:
4A 3-4-5 triangle, by angles, is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5The interior angles of a triangle sum to .
6For a right triangle, a2 + b2 = .
7A triangle has angles 90° and 45°. Find the third angle.
8A right triangle has legs 5 and 12. Find the hypotenuse.
9Classify a triangle with sides 3, 4, 5 by sides.
🚀 Section C · Challenge ● CHALLENGE 5
10Classify the 3-4-5 triangle by angles (32+42=52).
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-B | 5 180° 6 c2 7 = 45° 8 = 13 9 = Scalene | 10 = Right triangle