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write yes if the given set of lengths are side lengths of a right triangle. Otherwise write No

a. 6, 8, 10
b. 8, 15, 16
c. 10, 24, 26
d. 20, 21, 28
e. 9, 35, 41​

Respuesta :

Answer:

a) Yes

b) No

c) Yes

d) No

e) No

Step-by-step explanation:

Right triangle:

The square of the larger side is equals to the sum of the squares of the smaller sides.

a. 6, 8, 10

[tex]6^2 + 8^2 = 36 + 64 = 100 = 10^2[/tex]

The answer is yes.

b. 8, 15, 16

[tex]8^2 + 15^2 = 64 + 225 = 289 \neq 16^2 = 256[/tex]

So no.

c. 10, 24, 26

[tex]10^2 + 24^2 = 100 + 576 = 676 = 26^2[/tex]

So yes

d. 20, 21, 28

[tex]20^2 + 21^2 = 400 + 441 = 841 \neq 28^2 = 784[/tex]

So no.

e. 9, 35, 41​

[tex]9^2 + 35^2 = 81 + 1225 = 1306 \neq 41^2 = 1681[/tex]

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