What is the hypotenuse of a right triangle if the legs are each 20 inches long? Round to the nearest whole number. A. 28 B. 29 C. 30 D. 31

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CHERLYNnotCHERRY CHERLYNnotCHERRY · Answer 1 · 2020-10-08T09:41:31+02:00

Answer:

The answer is A.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]let \: a = 20,b = 20[/tex]

[tex] {c}^{2} = {20}^{2} + {20}^{2} [/tex]

[tex] {c}^{2} = 800[/tex]

[tex]c = \sqrt{800} [/tex]

[tex]c = 28 \: (nearest \: whole \: no.)[/tex]

P.S (Take note):

Pythagoras Theorem can only applied in right angle triangle.

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AayushTripathy AayushTripathy · Answer 2 · 2020-10-08T09:42:37+02:00

Answer:

We can find the hypotenuse by using the Pythagoras theorem/theory. The Pythagoras theorem states that,

[tex]h^{2}[/tex] = [tex]p^{2}[/tex] + [tex]b^{2}[/tex] where, h = hypotenuse, p = perpendicular, b = base

=> [tex]h^{2}[/tex] = [tex]20^{2}[/tex] + [tex]20^{2}[/tex]

=> [tex]h^{2}[/tex] = 400 + 400

=> [tex]h^{2}[/tex] = 800

=> h = [tex]\sqrt{800}[/tex]

=> h = 28.284.....

Therefore rounded to the nearest whole number, we get,

h = 28

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