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Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle. 3, 9, 10
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Sep 3, 2022
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Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
3, 9, 10
Mathematics
high-school
Orcris
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Orcris
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It’s obtuse
Step-by-step explanation:
Assign the sides by length with c being longest
If (a^2)+(b^2)>(c^2) it’s acute
If (a^2)+(b^2)=(c^2) it’s right
And if (a^2)+(b^2)<(c^2) it’s obtuse
Since (3^2)+(9^2)=9+81=90
And 10^2=100 we know that (a^2)+(b^2)<(c^2) so it’s obtuse
RaSha
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Sep 8, 2022
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RaSha
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