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Jjishajisha010107go
Answered

which three lengths could be the lengths of the sides of a triangle??
a. 12 cm,5 cm,17 cm
b. 9 cm,22 cm,11 cm
c. 10 cm,15 cm,24 cm
d. 21 cm,7 cm, 6 cm​

Sagot :

Raiven8go

C. 10 cm, 15 cm, 24 cm

- Why?

Using a triangle inequality property,

(a + b > c

a + c > b

b + c > a)

we get:

  • a. 12 + 5 > 17 X [immediate disqualification]

  • b. 9 + 22 > 11 ✓
  • 9 + 11 > 22 X

  • c. 10 + 15 > 24 ✓
  • 10 + 24 > 15 ✓
  • 15 + 24 > 10 ✓

  • d. 21 + 7 > 6 ✓
  • 21 + 6 > 7 ✓
  • 7 + 6 > 21 X

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