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Are trigonometric functions used to find the acute angles of a right triangle?

they can be, depending on the information that you are given. If you know lengths of sides, then YES.


Do you have to know three side lengths of a right triangle before you can use trig ratios to find the measure of an acute angle?

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How do you find which triangle if you know the lengths of the sides of a triangle whether it is isosceles or equilateral or scalene?

You look at the lengths of the sided of the triangle. If the two lengths are same, the triangle is an isosceles triangle. If all the lengths are same, the triangle is an equilateral triangle. If none of the lengths are same, the triangle is a scalene triangle.


How do you find the angles of an acute triangle?

Measure two of them. Then the third is 180 degrees minus the two that you know. Or measure the lengths of the sides and use the cosine rule.


What is history of theodolite?

From geometry, we know that it is possible to calculate unknown lengths and angles of a triangle given particular information regarding the other angles and lengths of the sides of a triangle. For example, given beginning coordinates such as (x,y) in plane coordinates or the latitude and longitude, it is then possible to calculate new coordinates by measuring certain angles and distances (lengths of sides of a triangle).


How do you know if a triangle is acute?

A triangle is acute if it is less than 90 degrees. It is obtuse if more than 90 degrees


What is leg lengths right triangle when hypotenuse 32 is given?

If you only know the hypotenuse, you can't tell the leg lengths. There are an infinite number of possibilities. The only thing you know for sure is that the sum of their squares is 1,024. If you had one other piece of information ... the length of one leg or the size of one acute angle ... then you'd know or could calculate all 3 sides and 3 angles.


How do you find the area of a triangle when given 3 angles and the perimeter?

If you know the lengths of 2 sides and the included angle then use: Area of a triangle = 1/2*a*b*sinC


How do you know if triangle can be formed with given lengths?

Lenths of the 2 shortests sides added together has to be greater than length of the longest side.


How do you know if you can make more that one triangle?

To determine if you can make more than one triangle with a given set of side lengths, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.


Is every equilateral triangle acute?

yes.


Is the following shape a right triangle how do you know?

If it contains a 90 degree angle and two acute angles that add up to 90 degrees then it is a right angle triangle.