Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?

Option D is the correct choice.

☪ First , Let's know about right triangle , legs and hypotenuse :

A right triangle is a triangle with an angle of 90°.The two sides that form the right angle are called legs.The opposite side of right angle is the hypotenuse.

☥ Let's explore about The Pythagorean Theorem :

Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse. In algebraic terms , The Pythagorean Theorem is stated as :

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☯ Now , let's start to solve :

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a = 8 cm , b = 15 cm

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Length of a hypotenuse ( c )

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Substitute the known values :

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Take the square roots of both sides :

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The length of the hypotenuse is .

And we're done!!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

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Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.