Question

4. Jake wants to make a garden with a border in the corner of his yard. He has lumber in several different lengths. Which three lengths could NOT be used to make a right triangle to fit into the corner of his yard? O 5 ft., 12 ft., 13 ft. O 9 ft., 12 ft., 15 ft. O 16 ft., 12 ft., 20 ft. 0 0 O 10 ft., 12 ft., 15 ft.​

Answer 1

10 ft., 12 ft., 15 ft.​

Explanation:

Note that for a right triangle, the sum of the square of the hypotenuse is equal to the sum of square of the opposite and the adjacent.

Note that the hypotenuse is the longest side

Checking the given sides 10 ft., 12 ft., 15 ft.​

Hypotenuse = 15ft (longest side)

Take the square of 15

15² = 225

Take the sum of square of other two sides

12²+10²

= 144 + 100

= 244

Since 225≠244, hence the three length could not be used to make a right triangle to fit into the corner of his yard