9. how does the length of the hypotenuse in a right triangle relate to the lengths of the legs? (2 points) open ended/short answer question

The relation between the length of the hypotenuse in a right triangle and  lengths of the legs is .

Explanation:

The legs of right angled triangle is also known as perpendicular and base respectively.

Let p be length of perpendicular and b be the length of base. Then by Pythagoras theorem,

here, H is the length of Hypotaneous.

Thus, relation between the length of the hypotenuse in a right triangle and  lengths of the legs is .

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hypotenuse² = base² +height²

Explanation:

Let us suppose a right angled triangle having b as base, h as hypotenuse and p as perpendicular distance.

The relation between the length of legs, the base and the hypotenuse is called Pythagoras theorem. It is given by :

or

hypotenuse² = base² +height²

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jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.