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Warm Up Use the Pythagorean Theorem To solve for the missing side length of these right triangles

2). 1). 14. a. c. Warm Up Use the Pythagorean Theorem To solve for the missing side length of these right triangles. 20. 11. 21. 8. 3). b. 20. Converse Of the Pythagorean Theorem.

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Warm Up Use the Pythagorean Theorem To solve for the missing side length of these right triangles

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  1. 2) 1) 14 a c Warm UpUse the Pythagorean Theorem To solve for the missing side length of these right triangles 20 11 21 8 3) b 20

  2. Converse Of the Pythagorean Theorem • Converse of the Pythagorean Theorem – If the square of the lengths of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle. • If a2+b2=c2, then the triangle is a right triangle

  3. Is the triangle a right triangle?If a2+b2=c2, then the triangle is a right triangle 48 85 13 16 45 84 2304+256=2025 Does 2560=2025? No, Therefore this is not a right triangle. Does Lets Check, 169+7056=7225 Therefore, 7225=7225!!!!!! Yes, this is a right triangle

  4. Problems from homework: • Determine whether or not the given numbers are possible measures for the sides of a right triangle. 1. a=10, b=12, c=14 Use our equation • 8. The diagonal of a field is 100 meters. Two of the sides were measured at 70 meters and 80 meters. Does this field form a rectangle? Show your work to prove your answer. 100 80 70 ?

  5. Homework problems continued • Determine whether or not the given numbers are possible measures for the sides of a right triangle. 2. a=0.3, b=0.4, c=0.5 • 7. Paula bought a riverside property that has the shape of a triangle. The lengths of the sides of the property are 54 ft, 90 ft, and 72 ft. Does the property from a right triangle? Why or why not? How do we know which number to plug In for a, b, and c, in our equation

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