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Pythagorean Theorem Warm-up: Finding Missing Sides

Practice problems using the Pythagorean Theorem to find missing sides in different scenarios, rounding to the nearest tenths. Explore tangent concepts in circles with solving for x and radius measurements.

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Pythagorean Theorem Warm-up: Finding Missing Sides

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  1. Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd Welcome back. 8.3 m 2.2 ft

  2. TANGENTS A line is tangent to the circle only if it is perpendicular to the radius drawn to the point of tangency

  3. Is AD tangent or not tangent? No, point D is not tangent to the circle.

  4. Is AB tangent or not tangent?Use Pythagorean Theorem to find out. Yes 682 + 512 = 852

  5. Is AB tangent or not tangent?Use Pythagorean Theorem to find out. No 82 + 162 192

  6. Solve for x. x2 + 962 = 1002 x = 28 BC is a radius of Circle C AB is tangent to Circle C

  7. Solve for x. x2 + 482 = 802 x = 64 BC is a radius of Circle C AB is tangent to Circle C

  8. Solve for x. x2 + 322 = (x + 16)2 32x = 768 x = 24 BC is a radius of Circle C AB is tangent to Circle C

  9. Solve for x. x2 + 562 = (x + 32)2 64x = 2112 x = 33 BC is a radius of Circle C AB is tangent to Circle C

  10. Solve for x. x2 + 992 = (x + 81)2 162x = 3240 x = 20 BC is a radius of Circle C AB is tangent to Circle C

  11. P. 207

  12. Solve for x.  7.1 x 6

  13. EF EG

  14. Solve for x. Round to the nearest tenth.

  15. Party Hat Problems(Tangent/Tangent)

  16. S Party hat problems! If two segments from the same exterior point are tangent to a circle, then they are congruent. R T

  17. Solve for x

  18. Solve for x

  19. Solve for x C P

  20. Find NP N T S P R Q

  21. Homework ?

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