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Ariannebugayong08go
Answered

A. Given the following measures of a triangle, identify whether
the triangle is right, acute or obtuse.
1. a= 6, b= 8, c= 10
2.a = 5, b = 11, c =15
3.a =8, b = 15, c = 17
4. a = 4.8, b = 28.6, c = 29
5.a = 4.8, b = 28.6, c = 29​

Sagot :

Greninjack31go

Answer:

1) Right

2)Obtuse

3) Right

4)Right

5)Right

Explanation:

  • To know whether the given sides are acute, right or obtuse, first square all sides.

[tex]a=6^2=36\\b=8^2=64\\c=10^2=100[/tex]

  • Then, add the two smallest sides.

[tex]36+64=100[/tex]

  • Finally, compare the sum of two smallest side to the largest side. If the sum is > to the 3rd side it is acute, if the sum is = to the 3rd side it is right, and if the sum is < than the 3rd side it is obtuse.

[tex]100=100[/tex]

Thus, this is right triangle.

2)

[tex]a^2=25\\b^2=121\\c^2=225\\\\25+121=146\\\\146<225[obtuse][/tex]

3)

[tex]a^2=64\\b^2=225\\c^2=289\\\\64+225=289\\\\289=289[right][/tex]

4)

[tex]a^2=23.04\\b^2=817.96\\c^2=841\\\\23.04+817.96=841\\\\841=841[right][/tex]

5)

[tex]a^2=23.04\\b^2=817.96\\c^2=841\\\\23.04+817.96=841\\\\841=841[right][/tex]

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