Use the Pythagorean Theorem to solve for the unknown side of the right triangle. Round to two decimal places.

Question

Quizplus · Accepted Answer

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

Applying the theorem in this problem,
hypotenuse^2 = (6.8)^2 + (8.1)^2
hypotenuse^2 = 46.24 + 65.61
hypotenuse^2 = 111.85
hypotenuse = √111.85 
hypotenuse ≈ 10.58

Therefore, the unknown side must be 10.58. 
Only choice B, 11ec19db_8525_0222_9dbe_89c9c6e7122e_TBX8673_11, is closest to 10.58, so it is the best choice.

Use the Pythagorean Theorem to Solve for the Unknown Side