SAT Math Multiple Choice Practice Question 347: Answer and Explanation
17. The area of a right triangle is 10 square centimeters. If the length of each leg, in centimeters, is a positive integer, then what is the least possible length, in centimeters, of the hypotenuse?
Correct Answer: B
B Area = ?(base)(height)
The base and the height are both integers. Find all the "factor pairs" of 20: 1, 20; 2, 10; and 4, 5
Plug each pair into the Pythagorean theorem to find the least possible length of the hypotenuse:
is the shortest possible hypotenuse.