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Use the following information to answer all parts of question 3.3a: What is the area of the triangle? (Area of triangle = 1/2*b*h)

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3b: What is the area of the semicircle? Round your answer to the nearest tenth. (Area of circle = π*r^2)

Use the following information to answer all parts of question 3.3a: What is the area-example-1

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Answer:

See below ~

Explanation:

3a : Area of the triangle

  • A = 1/2bh
  • A = 1/2 x 10 x 8
  • A = 5 x 8
  • A = 40 m²

3b : Area of the semicircle

  • Finding the radius (equal to 1/2 of the triangle hypotenuse)
  • Apply Pythagorean Theorem here
  • √8² + 10² = d
  • √64 + 100 = d
  • d = √164
  • d = 2√41
  • r = √41

  • A = πr²/2
  • A = 3.14 x (√41)² / 2
  • A = 1.57 x 41
  • A = 64.4 m² (nearest tenth)
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