Question

Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28+45)^2=73

Which best describes Nadia's solution?
•She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate,
•She is incorrect because she should have used 45 as the length of the hypotenuse
•She is incorrect because she should have squared each leg length and then found the sum
• she is correct because the hypotenuse is the longest side of the triangle

Answer 1

C

Explanation:

The formula for Pythagorean Theorem is:

a^2 + b^2 = c^2

Let's first solve this equation.

28^2 + 45^2 = c^2

784 + 2,025 = 2,809

√2,809 = 53

This means the hypotenuse is 53.

When looking at Nadia's equation, she incorrectly squared her numbers. They each should be squared then added. Therefore, answer C is correct.

She is incorrect because she should have squared each leg length and then found the sum.

Answer 2

It would be C, because when you find the length using th pythagreon theorem... you can begin to see the relationship through all of the figures and side lengths... Make sense?

Explanation: