## muscrat123 one year ago The length of the hypotenuse of a right triangle is 145 units. The length of one leg of the triangle is 144 units. Mike wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1452 − 1442 = 21,025 − 20,736 = 289 units @Sepeario

1. muscrat123

Which statement best explains whether Mike's step is correct or incorrect? It is incorrect because the length of the unknown side is the square root of 289. It is incorrect because the length of the unknown side is the square root of 41,761. It is correct because the length of the unknown side is the difference of the lengths of the sides. It is correct because the length of the unknown side is the difference of the squares of the sides.

2. sepeario

He needs to square root his answer.

3. muscrat123

so he needs to square root 289?

4. muscrat123

@Sepeario

5. sepeario

Yes.

6. sepeario

As he squared the other sides, the final answer he got was also a squared number.

7. mathstudent55

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8. mathstudent55

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9. mathstudent55

Just like 21,025 is 145^2, and 20,736 is 144^2, so 289 is b^2, not b. Since b^2 = 289, if you take the square root of 289, you find b, the third side of the triangle.