Triangle exercises and problems

Solve 12 triangle exercises and problems of varying difficulty levels. Practice online solving math and geometry problems and tests.

Understand how to solve various types of triangle problems using the provided formulas and concepts.


Basic Level Triangle :

  1. Calculate the perimeter of a triangle with side lengths of 9 inches, 12 inches, and 15 inches.

  2. In a right triangle with legs of 6 centimeters and 8 centimeters, find the length of the hypotenuse.

  3. Given an equilateral triangle with a side length of 10 meters, calculate its area.

  4. Calculate the area of an isosceles triangle with a base of 6 inches and a height of 8 inches.

 


Intermediate Level Triangle :

  1. In a triangle with angles A = 40 degrees, B = 65 degrees, and side c = 12 feet, calculate the lengths of sides a and b.

  2. Determine the area of a right triangle with a base of 15 yards and a height of 20 yards.

  3. Solve for the length of the median from vertex B in a triangle with sides a = 7 inches, b = 9 inches, and c = 10 inches.

  4. Calculate the circumradius (R) of a triangle with sides a = 5 feet, b = 12 feet, and c = 13 feet.

 

Advanced Level Triangle :

  1. In a triangle with sides a = 8 centimeters, b = 15 centimeters, and angle C = 30 degrees, calculate the length of side c.

  2. Given a triangle with angles A = 60 degrees, B = 75 degrees, and side a = 10 meters, calculate the lengths of sides b and c.

  3. Determine the in-radius (r) of a triangle with sides a = 7 inches, b = 24 inches, and c = 25 inches.

  4. In a triangle with sides a = 17 inches, b = 8 inches, and c = 15 inches, calculate the measure of angle A using the Law of Cosines.

 

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