Question

Nadia says the hypotenuse of this right triangle has a length of 73 because the pythagorean theorem states that (28 45) squared = 73 squared. 3 squares are positioned to form a right triangle. the small square is labeled 28, medium square is 45, and large square is not labeled. which best describes nadia’s solution?

Answer 1

Both the options that Nadia gives are wrong about the length of hypotenuse.

Given length of hypotenuse is 73 and options which are :

1) Because the pythagoras theorem states that $28^{2} +45^{2}$ squared = 73 squared.

2) 3 squares are positioned to form a right triangle.

We have to choose the correct option which shows the calculation of length of hypotenuse.

Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to sum of the square of base and square of perpendicular.

$H^{2} =P^{2} +B^{2}$

First option says that $28^{2} +45^{2} =73^{2}$

784+2025=5329

2809≠5329

so it is wrong.

Second option says that the length  of hypotenuse is the sum of three squares but we have seen that the square of the length of hypotenuse is equal to sum of two square one is the square of base and the square of perpendicular.

Hence both the options are incorrect about the length of hypotenuse.

Learn more about pythagoras theorem at brainly.com/question/343682

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