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SAT Mathematics QUESTION #5475
Question 1
A right triangle has sides of length $2\sqrt{2}, 6\sqrt{2}$, and $\sqrt{80}$ units. What is the area of the triangle, in square units?
  • $\sqrt{82} + \sqrt{80}$
  • 12✔️
  • $24\sqrt{80}$
  • 24
Correct Answer Explanation
Legs are $2\sqrt{2}$ and $6\sqrt{2}$ because $(2\sqrt{2})^2 + (6\sqrt{2})^2 = 8 + 72 = 80 = (\sqrt{80})^2$. Area $= \frac{1}{2} \times 2\sqrt{2} \times 6\sqrt{2} = 12$.