Question

The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. (5 points)

Question 4 options:

1)

5.20 units

2)

6.71 units

3)

9.00 units

4)

18.00 units

Answer 1

The length of the hypotenuse is 6.71

How to calculate the length of the hypotenuse ?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation relating the lengths of the sides a, b, and the hypotenuse c:

${\displaystyle a^{2}+b^{2}=c^{2},}$

Given ,

Pythagorean therum

a^2 + b^2 = c^2....a and b are ur legs and c is the hypotenuse

3^2 + 6^2 = c^2

9 + 36 = c^2

45 = c^2...take the sqrt of both sides....this eliminates the ^2

sqrt 45 = c

6.708 rounded = 6.71 = c

Therefore the length of the hypotenuse is 6.71

To learn more about Pythagorean theorem refer to :

https://brainly.com/question/343682

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