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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

In an isosceles triangle, the two equal sides have length 10 and the base is 12. What is the area?

  • A

    30

  • B

    48

    check_circle
  • C

    160\sqrt{160}

  • D

    60

Explanation

Altitude to base: sqrt102−62=sqrt64=8\\sqrt{10^2 - 6^2} = \\sqrt{64} = 8. Area =frac12(12)(8)=48= \\frac{1}{2}(12)(8) = 48.

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