[PDF] 8-2 Study Guide and Intervention - The Pythagorean Theorem and





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8-2 - Study Guide and Intervention

Chapter 8. 11. Glencoe Geometry. Study Guide and Intervention. The Pythagorean Theorem and Its Converse. The Pythagorean Theorem In a right triangle 



8-2 Study Guide and Intervention - The Pythagorean Theorem and

Chapter 8. 11. Glencoe Geometry. 8-2 Study Guide and Intervention The Pythagorean Theorem In a right triangle the sum of the squares of the lengths of ...



4-1 Study Guide and Intervention

Example: Find the exact values of the six trigonometric functions of ?. Use the Pythagorean Theorem to determine the length of the hypotenuse. 152. +32. = 2.



8-3 Study Guide and Intervention - Special Right Triangles

Chapter 8. 18. Glencoe Geometry. 8-3 Study Guide and Intervention. Special Right Triangles Using the Pythagorean Theorem with a = b = x then. 2.



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8-2. Study Guide and Intervention (continued). The Pythagorean Theorem and Its Converse. Converse of the Pythagorean Theorem If the sum of the squares.



High School Hayward Community School District 715-634-2619

1-2 Study Guide and Intervention (continued). Linear Measure 3.2 Consecutive Interior Angles Theorem If two parallel ... Use pythagorean theorem to.



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2. = 8. 13S. Study Guide and Intervention. Arcs and Chords Use the Pythagorean Theorem to find x in AOED. (OEP (EDY = (ODY. (OE) + 12 = 152.



8-3 - Study Guide and Intervention

If the leg of a 45°-45°-90° right triangle is 1 units show that the hypotenuse is 1 ? 2 units. x ?? x x. 2. 45°. 45°. Using the Pythagorean Theorem with.



8-1 - Study Guide and Intervention

Chapter 8. 5. Glencoe Geometry. Study Guide and Intervention 4 ? 2. Simplify. The geometric mean between 8 and 4 ... RP SP Geometric Mean (Leg) Theorem.



5-1 Study Guide and Intervention

Trigonometric identities are identities that involve trigonometric functions. Reciprocal Identities. Pythagorean Identities sin ? = 1 csc ? csc ? 



NAME DATE PERIOD 8-2 Study Guide and Intervention

The Pythagorean Theorem and Its Converse The Pythagorean Theorem In a right triangle the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse If the three whole numbers ab and c satisfy the equation a2 + 2b = c2 then the numbers a b and c form a Pythagorean triple c a b A C B a Find a a 12



NAME DATE PERIOD 8-2 Study Guide and Intervention

The Pythagorean Theorem In a right triangle the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse If the three whole numbers a b and c satisfy the equation 2 + 2 = 2 then the numbers a b and c form a Pythagorean triple Example : Find a Find c ABC is a right triangle so 2 + 2 = 2



The Pythagorean Theorem and Its Converse

The Pythagorean TheoremIn a right triangle the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse 2ABCis a right triangle so a b2c2 Prove the Pythagorean Theorem With altitude CD each leg aand bis a geometric mean between hypotenuse cand the segment of the hypotenuse adjacent to that leg a c 2



Ms Schmidt's Classroom - Home

8-2 Study Guide and Intervention (continued) The Pythagorean Theorem and Its Converse Converse of the Pythagorean Theorem If the sum of the squares of the measures of the two shorter sides of a triangle equals the square of the measure of the longest side then the triangle is a right triangle



Chapter 8 Review Answers - Ms Johnson's Classroom Site

8-2 Study Guide and Intervention The Pythagorean Theorem and Its Converse Exercises Find x 65 = koo 28 11 QL3 96 15 16 33 z 25 28 Use a Pythagorean Triple to find x 45 24 17 Exercises Determine whether each set of measures can be the measures of the sides of a triangle If so classify the triangle as acute obtuse or right

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 8 11 Glencoe Geometry

8-2 Study Guide and Intervention

The Pythagorean Theorem and Its Converse

The Pythagorean Theorem In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. If the three whole numbers a, b, and c ᇞABC is a right triangle.

Example :

a. Find a. a = 5 Take the positive square root of each side. b. Find c.

400 + 900 = ܿ

1300 = ܿ

ξsurr = c Take the positive square root of

each side.

36.1 c Use a calculator.

Exercises

Find x.

1. 2. 3.

4. 5. 6.

Use a Pythagorean Triple to find x.

7. 8. 9.

15 51 100

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 8 12 Glencoe Geometry

8-2 Study Guide and Intervention (continued)

The Pythagorean Theorem and Its Converse

Converse of the Pythagorean Theorem If the sum of the squares of the lengths of the two shorter sides of a triangle equals the square of the lengths of the longest side, then the triangle is a right triangle. Example: Determine whether ᇞPQR is a right triangle.

100 + 300 ؟

400 = 4009 Add.

Exercises

Determine whether each set of measures can be the measures of the sides of a triangle. If so, classify the triangle as

acute, obtuse, or right. Justify your answer.

1. 30, 40, 50 2. 20, 30, 40 3. 18, 24, 30

4. 6, 8, 9 5. 6, 12, 18 6. 10, 15, 20

7. ξw, ξst, ξsu 8. 2, ξz, ξst 9. 9, 40, 41

yes, right; yes, obtuse; yes, right;

502 = 302 + 402 402 > 202 + 302 302 = 242 + 182

yes, acute; no; 6 + 12 = 18 yes, obtuse;

92 < 62 + 82 202 > 102 + 152

yes, acute; yes, right; yes, right; ૛+ 22 412 = 402 + 92quotesdbs_dbs3.pdfusesText_6
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