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SAT Math · Question of the Day

SAT Math Question of the Day

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Tuesday, September 8, 2026

In right triangle △LMN\triangle LMN, ∠M=90∘\angle M = 90^\circ, ∠L=θ\angle L = \theta, and the side opposite θ\theta is 11 while the side adjacent to θ\theta is 16. What is the length of the hypotenuse LNLN?

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In right triangle △LMN\triangle LMN, ∠M=90∘\angle M = 90^\circ, ∠L=θ\angle L = \theta, and the side opposite θ\theta is 11 while the side adjacent to θ\theta is 16. What is the length of the hypotenuse LNLN?

  1. 377\sqrt{377} (correct answer)
  2. 135\sqrt{135}
  3. 2727
  4. 16cos⁡θ\dfrac{16}{\cos\theta}

Explanation: In triangle LMN with right angle at M, the side opposite to angle L (which is θ) is 11, and the side adjacent to angle L is 16. To find the hypotenuse LN, we use the Pythagorean theorem: LN = √(opposite² + adjacent²) = √(11² + 16²) = √(121 + 256) = √377. Note that while the problem mentions angle θ, we don't need to find its measure; the Pythagorean theorem directly gives us the hypotenuse from the two legs.