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Using the cosine rule the 3rd side works out as 60.655 rounded to 3 decimal places

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Hema Baker

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60.65 APEX:)

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Q: Suppose a triangle has two sides of length 33 and 37 that the angle between these two sides is 120 What is the length third side of the triangle?
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Continue Learning about Geometry

Is it true the sine ratio relates the length of the leg the angle that is in question to the length of the hypotenuse?

Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.


What is the difference between an isosceles triangle and a right triangle?

In an isosceles triangle, two sides are of equal length. An isosceles triangle also has two congruent angles. An equilateral triangle is an isosceles triangle, but not all isosceles triangles are equilateral triangles. __________ A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one 90° internal angle (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. An isoceles triangle has TWO sides of equal length but and equilateral triangle has THREE sides of equal length.


What does an equilateral triangle look like?

An equilateral triangle is a shape with three sides of the same length, and the angle in between the sides is always 60o.


A triangle with 2 equal sides but no right angle?

a triangle with two sides the same length and no right angle


Two types of triangle?

There are three main types of triangle:Scalene - all angles are different and all sides are different lengthsIsosceles - Two sides are equal in length and the two angles (between the third side and the two sides of equal length) are equalEquilateral - All three angles are equal (at 60°) and all three sides are of equal length.If all angles are less than 90° then the triangle can also be described as an Acute triangle; an equilateral triangle is acute by definition as all angles are 60° which is less than 90°.A Scalene or Isosceles triangle can also be described as a Right angle triangle if one angle is 90° (a right angle); in the isosceles triangle this is the angle between the sides of equal length.A Scalene or Isosceles triangle can also be described as an Obtuse triangle if one angle is greater than 90°; in the isosceles triangle this is the angle between the sides of equal length.

Related questions

How do you find out if a triangle is a right angle triangle given only the length of each side?

Measure 3 of any unit on one of the sides that you suppose have a right angle. Measure 4 of the same unit an the oher side you suppose has a right angle. the distance between the marks you made should mbe 5 if it is a right angle


Is the ratio of the length of the opposite leg to the length of the adjacent leg?

Suppose ABC is a triangle. There is nothing in the question that requires the triangle to be right angled. Suppose AB is the side opposite to angle C and BC is a side adjacent to angle C. Then AB/BC = sin(C)/sin(A)


Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?

Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.


Is the longest distance between two points in a triangle the length of the longest side?

The largest side of a triangle is directly across from the largest angle of that triangle.


What is the length of the third side of a triangle when the other sides are 17 cm in length with an angle of 45 degrees between them?

Using the cosine rule: 13.0112367 cm The triangle is in fact an isosceles triangle.


Is it true the sine ratio relates the length of the leg the angle that is in question to the length of the hypotenuse?

Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.


How do you use sine in math?

The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.


What is the difference between an isosceles triangle and a right triangle?

In an isosceles triangle, two sides are of equal length. An isosceles triangle also has two congruent angles. An equilateral triangle is an isosceles triangle, but not all isosceles triangles are equilateral triangles. __________ A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one 90° internal angle (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. An isoceles triangle has TWO sides of equal length but and equilateral triangle has THREE sides of equal length.


What is the formula to find the length of a right angle triangle?

By using Pythagoras' theorem for a right angle triangle.


How long must a right triangle be?

It can be any length; a right angle triangle just needs to include a right angle somewhere. But length has nothing to do with whether it is a right angle or not.


When you say Tangent of 30 equals -6.40 does the -6.40 represent the length or angle of something else?

In a right triangle, the tangent of an angle other than the right angle is the ratio of the length of the side opposite the angle over the length of the side adjacent to the angle (the side between the angle and the right angle).


What does an equilateral triangle look like?

An equilateral triangle is a shape with three sides of the same length, and the angle in between the sides is always 60o.