Which set of side lengths forms a right triangle?

A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4

Question

19-04-2022
Mathematics

contestada

Which set of side lengths forms a right triangle?

A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4

Respuesta :

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Emorix Emorix · Answer 1 · 2022-04-19T17:16:07+02:00

Emorix Emorix

19-04-2022

Answer:

A. 6,8,10

Step-by-step explanation:

For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:

a(2 + b(2= c(2

A. 6,8,10

6(2 + 8(2 = 10(2

36 + 64 = 100

100 = 100

Bingo!

(For example lets solve the rest)

B. 2,4,6

2(2 + 4(2 = 6(2

4 + 16 = 36

20 ≠ 36

Nope.

C. 1,2,3

1(2 + 2(2 = 3(2

2 + 4 = 9

6 ≠ 9

No again!

D. 2,3,4

2(2 + 3(2 = 4(2

4 + 9 = 16

13 ≠ 16

Not this one.

Therefore our answer is A.

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Which set of side lengths forms a right triangle? A. 6,8,10 B. 2,4,6 C.1,2,3 D. 2,3,4

Respuesta :

Otras preguntas

Which set of side lengths forms a right triangle?

A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4