Respuesta :
3,4,5
using a^2 +b^2 = c^2 plug in any of the numbers i plugged in
3^2 +4^2 which gave me 9+16 and that is 25 and 5^2 is 25
using a^2 +b^2 = c^2 plug in any of the numbers i plugged in
3^2 +4^2 which gave me 9+16 and that is 25 and 5^2 is 25
Answer:
3, 4, 5
Step-by-step explanation:
We are given the sets of numbers and we are supposed to find Which set of numbers could represent the lengths of the sides of a right triangle
So, we need to use Pythagoras theorem
[tex]Hypotenuse^{2} =Perpendicular^{2} +Base^{2}[/tex]
1) 9,10,11
Hypotenuse = 11
So, using Pythagoras theorem
[tex]11^{2} =10^{2} +9^{2}[/tex]
[tex]121=100 +81[/tex]
[tex]121\neq 181[/tex]
Since the given set does not satisfy the Pythagoras theorem.So, the given set of number could not represent the lengths of the sides of a right triangle.
2)16, 32, 36
Hypotenuse = 36
So, using Pythagoras theorem
[tex]36^{2} =32^{2} +16^{2}[/tex]
[tex]1296=1024 +256[/tex]
[tex]1296\neq 1280[/tex]
Since the given set does not satisfy the Pythagoras theorem.So, the given set of number could not represent the lengths of the sides of a right triangle.
3)8, 12, 16
Hypotenuse = 36
So, using Pythagoras theorem
[tex]16^{2} =12^{2} +8^{2}[/tex]
[tex]256=144 +64[/tex]
[tex]256\neq 208[/tex]
Since the given set does not satisfy the Pythagoras theorem.So, the given set of number could not represent the lengths of the sides of a right triangle.
4)3, 4, 5
Hypotenuse = 5
So, using Pythagoras theorem
[tex]5^{2} =4^{2} +3^{2}[/tex]
[tex]25=16 +9[/tex]
[tex]25\=25[/tex]
Since the given set satisfy the Pythagoras theorem.So, the given set of number could represent the lengths of the sides of a right triangle.
Hence 3, 4, 5 is the set of numbers could represent the lengths of the sides of a right triangle
