Unknown Leg Lengths in Right Triangles — Quiz

Question 4 • Foundations of Math 1

Which triangle’s unknown side length measures square root of 53 units?

Answer

Image with description A right triangle is shown. The vertical leg is labeled the square root of 73. The hypotenuse is labeled 20.

Image with description A right triangle is shown. The vertical leg is labeled the square root of 47. The hypotenuse is labeled 10.

Image with description A right triangle is shown. The horizontal leg is labeled the square root of 19. The hypotenuse is labeled the square root of 34.

Image with description A right triangle is shown. The vertical leg is labeled 6. The hypotenuse is labeled the square root of 91.

Explanation

For a right triangle, the hypotenuse squared equals the sum of the squares of the two legs. In choice B, the missing leg squared is 10² − (√47)² = 100 − 47 = 53, so the missing side is √53 units.

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