Question

Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.

What errors did Lewis make? Check all that apply.

Answer 1

He simplified StartRoot 400 EndRoot incorrectly. It should be 20 instead of 200.

He found the difference between the hypotenuse and the short leg instead of the long leg.

He evaluated 12 squared incorrectly. It should be 12 (2) = 24.

He evaluated 16 squared incorrectly. It should be 16 (2) = 32.

He should not have taken the square root of each side to get rid of the exponent.

Answer 2

@snowflake0531

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Answer 3

Let's look at hisi work step by step
Do you know what the Pythagorean Theorem is, and what it is used for?

Answer 4

no---

Answer 5

The pythagorean theorem says, with a triangle with sides a and b, and c as the hypotenuse, a squared plus b squared equals c squared
\[ a^2 + b^2 = c^2 \]

Answer 6

And so, do you think that Lewis set up the equation correctly?