Maths · Trigonometrical identities and trigonometrical functions

The measures of the angles of a triangle are in the ratio The triangle is:

The measures of the angles of a triangle are in the ratio \( 4: 5: 9 . \) The triangle is:

  • A. An acute angled triangle
  • B. A right angled triangle
  • C. An obtuse angled triangle
  • D. None of the above

Step-by-step solution

The angles are in ratio 4:5:9. Let the angles be 4x, 5x, 9x. Sum of angles = 18x = 180°, so x = 10°. The angles are 40°, 50°, and 90°. Since one angle is 90°, the triangle is right-angled.
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