Geometry Quiz: Triangles and Circles

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Questions and Answers

In a triangle, if A = 90 degrees, then the triangle is?

  • isosceles
  • right angled (correct)
  • equilateral
  • acute angled

If a triangle has sides of lengths 6, 5, and 9, then the radius of the circle is?

  • 5
  • 3
  • 4 (correct)
  • 2.5

If x = 2 and y = 3, with the usual notation, what is x^2 + y^2?

  • 4
  • 5
  • 7 (correct)
  • 13

In a triangle, if A = 90 degrees, then the triangle is?

<p>Right-angled (B)</p> Signup and view all the answers

If x = 2 and y = 3, with the usual notation, what is x^2 + y^2?

<p>13 (C)</p> Signup and view all the answers

For a triangle with sides of lengths 6, 5, and 9, then the radius of the circle is?

<p>4 (A)</p> Signup and view all the answers

What is the radius of the circle circumscribed about a triangle with sides of lengths 6, 5, and 9?

<p>5 (B)</p> Signup and view all the answers

In a triangle, if angle A = 90 degrees, then the triangle is:

<p>right angled (D)</p> Signup and view all the answers

In a triangle, if a = 2, b = 3, and c = 4, then:

<p>angle C is right (D)</p> Signup and view all the answers

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Study Notes

Triangle Properties

  • If A = 90 degrees, then the triangle is a right triangle.
  • If a triangle has sides of lengths 6, 5, and 9, then the radius of the circle circumscribed about the triangle can be found.
  • If angle A = 90 degrees, then the triangle is a right triangle.

Algebraic Expressions

  • If x = 2 and y = 3, then x^2 + y^2 = 2^2 + 3^2 = 4 + 9 = 13.

Triangle Sides

  • If a = 2, b = 3, and c = 4, then these values represent the lengths of the sides of a triangle.

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