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Ira Lisetskai [31]
4 years ago
7

A triangle has side lengths of 8 cm, 9 cm, and 14 cm. classify it as acute, obtuse, or right.

Mathematics
2 answers:
Anarel [89]4 years ago
5 0

The <em>correct answer</em> is:


It is an obtuse triangle.


Explanation:


We use the Pythagorean Theorem to determine what type of triangle we have, based on the side lengths.


If a² + b² = c², the triangle is a right triangle.

If a² + b² < c², the triangle is an obtuse triangle.

If a² + b² > c², the triangle is an acute triangle.


Using 8 for a, 9 for b and 14 for c, we have:

8² + 9² and 14²


8² + 9² = 64+81 = 145

14² = 196


145 < 196; therefore a² + b² < c², and the triangle is obtuse.

tiny-mole [99]4 years ago
4 0
The triangle is an acute triangle.
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