Question

A designer wants to create an apartment in the shape of a right triangle as his new design. If he has three partitions that are 14,9 and 20 feet can he do it?

Answer 1

No, he can not do it

Step-by-step explanation:

To prove that the the given three sides can form a right triangle:

1. Square the three sides
2. Add the squares of the smaller two sides
3. If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
4. If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle

∵ The designer has three partitions that are 14 , 9 and 20 feet

- Square the length of each partition

∵ 9² = 81

∵ 14² = 196

∵ 20² = 400

- Add the squares of the two smaller partitions 9 and 14

∵ 81 + 196 = 277

∵ The square of the largest partition = 400

∵ 277 ≠ 400

∴ The sum of the squares of the two smaller partitions is not

   equal to the square of the third partition

- To create the apartment in the shape of a right triangle he must

   have three partitions the sum of the squares of the two smaller

   partitions is equal to the square of the largest partition

∴ He can not create the apartment in the shape of a right triangle

No, he can not do it

Learn more:

You can learn more about the right triangles in brainly.com/question/4098846

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