Question

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​

Answer 1

Answer:

The answer is A.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

${c}^{2} = {a}^{2} + {b}^{2}$

$let \: a = 20,b = 20$

${c}^{2} = {20}^{2} + {20}^{2}$

${c}^{2} = 800$

$c = \sqrt{800}$

$c = 28 \: (nearest \: whole \: no.)$

P.S (Take note):

Pythagoras Theorem can only applied in right angle triangle.

Answer 2

Answer:

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

$h^{2}$ = $p^{2}$ + $b^{2}$ where, h = hypotenuse, p = perpendicular, b = base

=> $h^{2}$ = $20^{2}$ + $20^{2}$

=> $h^{2}$ = 400 + 400

=> $h^{2}$ = 800

=> h = $\sqrt{800}$

=> h = 28.284.....

Therefore rounded to the nearest whole number, we get,

h = 28

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