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Jeremy is trying to explain why a triangle with side lengths 35, 30, 60 is not a right triangle. His explanation is shown below.
Step 1 35²+30²=60²
Step 2:(35+30)²=60²
Step 3:65²=60²
Step 4:< 225!= 3,600

Which best describes Jeremy's explanation?
a. Jeremy's explanation is accurate.
b. Jeremy's explanation is inaccurate. He wrote the leg lengths in the incorrect order in step 1..
c. Jeremy's explanation is inaccurate. He incorrectly combined terms in step 2.
d. Jeremy's explanation is inaccurate. He multiplied incorrectly in step 4.

Sagot :

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Answer:

 c. Jeremy's explanation is inaccurate. He incorrectly combined terms in step 2.

Step-by-step explanation:

You want to know where Jeremy went wrong in his use of the Pythagorean theorem with side lengths 35, 30, 60.

Pythagorean theorem

If the side lengths of a triangle satisfy the Pythagorean theorem relation, then that triangle is a right triangle. The sum of the squares of the two short sides must be equal to the square of the longest side.

Jeremy correctly wrote ...

  Step 1: 35² +30² = 60²

It is Step 2 where Jeremy made a mistake. The squares on the left side of the equation cannot be combined to get (35 +30)².

Jeremy's explanation is inaccurate. He incorrectly combined terms in step 2, choice C.

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