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Lines, Angles, and Triangles

SAT Math· difficulty 5/5

A triangle has sides of length 13, 14, and 15. What is its area? (Use Heron's formula.)

  • A

    84284\sqrt{2}

  • B

    84\sqrt{84}

  • C

    84

    check_circle
  • D

    168

Explanation

s=(13+14+15)/2=21s = (13+14+15)/2 = 21. Area =sqrt21cdot8cdot7cdot6=sqrt7056=84= \\sqrt{21 \\cdot 8 \\cdot 7 \\cdot 6} = \\sqrt{7056} = 84.

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