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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link

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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