Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)


20 30

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Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To find the unknown side length in the triangle, we can use the Pythagorean theorem.

Let x be the unknown side length.

According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is 30 and one of the other sides is 20.

So, we have:

x^2 = 30^2 - 20^2
x^2 = 900 - 400
x^2 = 500

Taking the square root of both sides:

x = √500
x ≈ 22.36

Rounding to the nearest hundredth:

x ≈ 22.36

Therefore, the unknown side length is approximately 22.36.

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