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Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h. He writes an equation that relates a, b, and h, and then solves it for h. Which of the following is the solution
for h that Paul writes?

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Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h He writes an equation that relates a b and h and then solves it for h W class=

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ckayep0cx2v

Answer:

D.

Step-by-step explanation:

The pythagorean theorem says that a²+b²=h², therefore h = [tex]\sqrt{a^{2} +b^{2} }[/tex].

Lanuel

Based on Pythagorean theorem, the best solution for h that Paul writes is [tex]h=\sqrt{a^2 + b^2}[/tex]

What is Pythagorean Theorem?

Pythagorean theorem can be defined as a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right-angled triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]h^2 = a^2 + b^2[/tex]

Where:

  • h is the hypotenuse.
  • a is the adjacent side.
  • b is the opposite side.

Simplifying further, we have:

[tex]h^2 = a^2 + b^2\\\\h=\sqrt{a^2 + b^2}[/tex]

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

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