How do you find out if this triangle is a right triangle?

1. How do you find out if this triangle is a right triangle? 14 ft 7 ft 16 ft

2. In this lesson, you will learn how to classify a triangle by using the Pythagorean Theorem.

3. 750 600 450 1200 900

4. Pythagorean Theorem leg2 + leg2 = hypotenuse2 a2 + b2 = c2 c a leg hypotenuse b leg

5. a2 + b2 = c2 Which side is the hypotenuse? 15 in 12 in 9 in 92 + 122 = 152

6. a2 + b2 = c2 40 in ? 9 in 92 + 402 = 412 41 in ? 81 + 1600 = 1681 1681 = 1681 Right Triangle

7. leg2 + leg2 = hypotenuse2 ? 16 in 14 in 72 + 142 = 162 ? 49 + 196 = 256 7 in 245 < 256 Obtuse Triangle

8. a2 + b2 = c2 12 cm ? 6 cm 62 + 122 = 132 ? 36 + 144 = 169 13 cm 180 > 169 Acute Triangle

9. In this lesson, you have learned how classify a triangle by using the Pythagorean Theorem.

10. Classify the triangle below as acute, obtuse or right. Justify your answer. 14 ft 7 ft 16 ft

11. Classify the triangle below as acute, obtuse or right. Justify your answer. 10 in 8 in 6 in

12. Classify the triangle below as acute, obtuse or right. Justify your answer. 24 cm 12 cm 26 cm

13. 1) Below are the measurements of a triangle. Using the Pythagorean Theorem, classify the triangle as acute, obtuse, or right. 15, 36, 39

14. 2) Below are the measurements of a triangle. Using the Pythagorean Theorem, classify the triangle as acute, obtuse, or right. 16, 18, 26