Answer:
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 :
[tex]h^2=b^2+p^2[/tex]
or
hypotenuse² = base² +height²
Answer:
The relation between the length of the hypotenuse in a right triangle and lengths of the legs is [tex]H^{2} = p^{2}+b^{2}[/tex].
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,
[tex]H^{2} = p^{2}+b^{2}[/tex]
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 [tex]H^{2} = p^{2}+b^{2}[/tex].
For more details, refer to the link:
https://brainly.com/question/23936129?referrer=searchResults
