A triangle has the side lengths of 28 in,4in and31 inches. classify it as acute, obtuse or right

1 answer:

7 0

The answer is obtuse

a = 4
b = 28
c = 31

If a² + b² > c² - the angle is acute
If a² + b² < c² - the angle is obtuse
If a² + b² = c² - the angle is right

a² + b² = 4² + 28² = 16 + 784 = 800
c² = 31² = 961

800 < 900
a² + b² < c²

Therefore, the angle is obtuse

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<h3>How do we measure and calculate the distance in Geometry?</h3>

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

$\mathbf{d = \sqrt{x^2 +y^2}}$