Unknown Leg Lengths in Right Triangles — Quiz

Question 2 • Foundations of Math 1

Which triangle’s unknown side length measures 7 units?

Answer

Image with description A right triangle is shown. The horizontal leg is labeled the square root of 6. The hypotenuse is labeled the square root of 43.

Image with description A right triangle is shown. The horizontal leg is labeled 5. The hypotenuse is labeled the square root of 74.

Image with description A right triangle is shown. The vertical leg is labeled the square root of 2. The hypotenuse is labeled 4.

Image with description A right triangle is shown. The vertical leg is labeled the square root of 18. The hypotenuse is labeled 5.

Explanation

Use the Pythagorean theorem: for a right triangle, the squares of the two legs add to the square of the hypotenuse. In choice B, the unknown leg squared is 74 − 5² = 74 − 25 = 49, so the unknown leg is √49 = 7 units.

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