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Q: How do you decide which side is opposite the given acute angle of a right triangle and which side is adjacent to the given angle?
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In a right triangle the ratio of the opposite side to the adjacent side?

In a right triangle, two of the angles are acute ones. Referring to one of the acute angles, the ratio of the side opposite it to the side adjacent to it is the tangent of the angle.


In a right triangle can the side opposite an acute angle be shorter than the side adjacent to the angle?

Certainly. In fact, if the legs of the right triangle are not equal, then that descriptionmust be true for one of its acute angles.


How do you find the measure of an acute angle if you only have the short leg and the long leg of a right triangle in trigometry?

Using trigonometry: tangent = opposite/adjacent


What is the tangent of a right triangle?

There is no such thing as the tangent of a triangle. Circles, angles, and conversations have tangents. In a right angled triangle, the tangent of one of the acute angles is the ratio of the length of the side opposite the angle to the length of the side adjacent to it.


How do you determine which is the adjacent side of a right triangle?

There are three sides, hypotenuse, opposite and adjacent. But the adjacent and opposite are not fixed sides: it depends on which of the two acute angles you are examining.For either of the non-right angles, the adjacent side is the one which forms the angle, along with the hypotenuse. For the given angle θ, the length of the adjacent side compared to the hypotenuse (adjacent/hypotenuse) is the cosine (cos θ).


The hypotenuse of a right triangle is the opposite side acute?

Angles are acute, not sides.


What is the angle adjacent to a side equal to 23 feet and opposite a side equal to 14 feet of a right triangle?

Since the opposite side is not the longest one in the triangle, you're not describing the right angle. Knowing the lengths of the opposite side and the adjacent side of one of the acute angles allows us to immediately calculate the tangent of the angle. The tangent is (14/23) and the angle is 31.3 degrees. (rounded)


Is the hypotenuse always opposite an acute angle?

The hypotenuse is NEVER opposite an acute angle. It's always the side of the right triangle that's opposite the right angle.


What do you do in trigonometry when you are only given the opposite and adjacent sides?

That depends what you're asked for. If you're asked for the tangent of the angle, divide (opposite)/(adjacent) . If you're asked for the hypotenuse of the triangle, it's sqrt( opposite2 + adjacent2 ) . If you're asked for the cosine of the angle, it's (adjacent)/(hypotenuse) . If you're asked for the other acute angle, it's the angle whose tangent is (adjacent)/(opposite) . If you're not asked for anything, then get your jacket, chew some gum, and go home.


In A Triangle The Smallest Angle Is?

In a triangle the smallest angle is always opposite the shortest side. It will always be an acute angle.


A triangle that has three 3 acute angles is a what?

A triangle with 3 acute angles is an acute triangle. All the angles in an acute triangle are acute.


What is adjacent acute angles?

Adjacent acute angle is not one word. An Adjacent angles are angles that are side by side.