Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.? | ProtonsTalk

Tagged: classification of triangle, triangles

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July 19, 2021 at 1:29 pm #9922
nazrina
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A) acute, because 10^2 + 12^2 >15^2
B) acute, because 12^2 + 15^2 >10^2
C) obtuse, because 10^2 + 12^2 >15^2
D) obtuse, because 12^2 + 15^2 >10^2
July 19, 2021 at 2:37 pm #9995
nazrina
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The correct option is (A)
Explanation:
If a^2 + b^2 = c^2 ,then triangle will be right angled.
If a^2 + b^2 > c^2 ,then theta will be acute.
If a^2 + b^2 < c^2 ,then theta will be obtuse.
Here,10^2 + 12^2 =244 > 15^2
Therefore, option (A) will be correct
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