2022 · Q39
Two sides of a triangle forming a right angle are 6x² and (2x² - 1). If the area of the triangle is 84 square units, then what is the perimeter of the triangle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A51 units
- B53 units
- C56 units
- D59 units
Explanation
Area (1/2)(6x²)(2x²-1) = 84 gives 2x⁴-x²-28 = 0, so x² = 4. The legs are 24 and 7, the hypotenuse 25, and the perimeter 56 units. Hence the keyed option is C.