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Which side length will form an obtuse triangle with side lengths 8 and 10

Which side length will form an obtuse triangle with side lengths 8 and 10-example-1
User Mallwright
by
6.8k points

1 Answer

3 votes

Answer:

Option J 13

Explanation:

we know that

If applying the Pythagoras Theorem


c^(2)> a^(2) +b^(2) ----> is an obtuse triangle


c^(2)< a^(2) +b^(2) ----> is an acute triangle


c^(2)= a^(2) +b^(2) ----> is a right triangle

where

c is the greater side

Verify each case

case F) we have


c=10, a=6, b=8

substitute


10^(2)> 6^(2) +8^(2)


100> 100 -----> is not true

Is a right triangle

case G) we have


c=10, a=9, b=8

substitute


10^(2)> 9^(2) +8^(2)


100> 145 -----> is not true

Is an acute triangle

case H) we have


c=12, a=8, b=10

substitute


12^(2)> 8^(2) +10^(2)


144> 164 -----> is not true

Is an acute triangle

case J) we have


c=13, a=8, b=10

substitute


13^(2)> 8^(2) +10^(2)


169> 164 -----> is true

Is an obtuse triangle

User Kanan Vora
by
7.3k points

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