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kenny6666 [7]
2 years ago
7

ASAP HELP HIGH POINTS find the value of x.

Mathematics
2 answers:
Westkost [7]2 years ago
7 0

Answer:

x ≈ 4.2 (nearest tenth)

Step-by-step explanation:

The chord of length 4 is the base of an isosceles triangle with height of 3.7 and sides equal to the radius (x).

An isosceles triangle comprises two right triangles, each with:

  • base = 2 units
  • height = 3.7 units
  • hypotenuse = x units

Therefore, to find x use Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ a² + b² = c²

⇒ 2² + 3.7² = x²

⇒ x² = 17.69

⇒ x = √(17.69)

⇒ x = 4.2 (nearest tenth)

cestrela7 [59]2 years ago
4 0

x is the radius

So apply Pythagorean theorem

  • H²=P²+B²
  • x²=(4/2)²+3.7²
  • x²=2²+13.69
  • x²=4+13.69
  • x=√17.69
  • x=4.2
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