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Q: How do you work out the lengths of the sides of a triangle from the hypotenuse?
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How do you find the side of a triangle with 3 sides?

First, a triangle, by definition, must have exactly 3 sides, so the last part of the question is pointless. Finding the length of a side depends on what information you do have: two sides and the included angle, one side and two angles, hypotenuse and an angle, hypotenuse and another side. Then there are some combinations involving the lengths of sides and medians or altitudes that will allow you to work out a missing side.


If you know the height and the length of a triangle how do you work out the diagnal of a right angle triangle?

A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one of its interior angles measuring 90° (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs or catheti[4] (singular: cathetus) of the triangle. Right triangles obey the Pythagorean theorem: the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse: a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse.


Does sohcahtoa work on a 90 degree angle I have a right triangle with a hypotenuse of 1m no other sides or angles were provided?

No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.


How do you work out the perimeter of a non right-angled triangle?

-- Measure or calculate the length of each of its 3 sides. -- Add the lengths of its 3 sides. -- The sum is the perimeter of the triangle.


Where does the pythagorean theorem work?

For every right angle triangle Pythagoras' theorem states that the square of its hypotenuse is equal to the sum of its squared sides and is given as:- a2+b2 = c2 whereas a and b are the sides of the right angle triangle with c being its hypotenuse or longest side

Related questions

Given two sides with lengths 34 and 14 which of the following lengths would NOT work for the third side of a triangle?

There are not any following lengths in the question to compare. Using the sizes given, and Pythagorean Theorem, the Hypotenuse of the triangle is 36.76 - which will have to do!


How do you work out the perimeter for a triangle?

-- Make sure you have the lengths of all three sides -- Add up the lengths of all three sides to get the perimeter of the triangle.


How is the Pythagoras theorem work?

Pythagoras' Theorem is how to work out the lengths of the sides of a right angled triangle. a2 + b2 = c2. In other words, the square of the hypotenuse (longest side) equals the square of the two other sides added together.


How do you find the side of a triangle with 3 sides?

First, a triangle, by definition, must have exactly 3 sides, so the last part of the question is pointless. Finding the length of a side depends on what information you do have: two sides and the included angle, one side and two angles, hypotenuse and an angle, hypotenuse and another side. Then there are some combinations involving the lengths of sides and medians or altitudes that will allow you to work out a missing side.


If you know the height and the length of a triangle how do you work out the diagnal of a right angle triangle?

A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one of its interior angles measuring 90° (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs or catheti[4] (singular: cathetus) of the triangle. Right triangles obey the Pythagorean theorem: the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse: a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse.


Does sohcahtoa work on a 90 degree angle I have a right triangle with a hypotenuse of 1m no other sides or angles were provided?

No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.


Given two sides with lengths 34 and 14, which of the following lengths would NOT work for the third side of a triangle?

18


What are the 3 trig ratios and how do they work?

A right angle triangle has three sides and three interior angles one of which is 90 degrees. The names of its sides are the adjacent the opposite and the hypotenuse and using the 3 trig ratios we can find the interior angles or lengths of the sides depending on the information given.Tangent angle = opposite/adjacentSine angle = opposite/hypotenuseCosine angle = adjacent/hypotenuseIf we are given the lengths of 2 sides we can work out the angles with the above ratios.If we are given a length and an angle we can work out the lengths of the other 2 sides by rearranging the above ratios.


What does Pythagoras' famous theorem involve?

It involves triangles. It shows you how to work out how long the side of a triangle is by knowing the lengths of the other two. It only works for right triangles and it is where the square of the hypotenuse (the long side of the triangle-opposite the right angle) is equal to the sum of the squares of the two other sides. a^2 + b^2 = c^2 c = hypotenuse


How do you work out the perimeter of a non right-angled triangle?

-- Measure or calculate the length of each of its 3 sides. -- Add the lengths of its 3 sides. -- The sum is the perimeter of the triangle.


How do you work out the sum of a triangle?

A triangle has no sum. There can be a sum of the measures of two or more angles, or the lengths of two or more sides, for example.


How do you work out the diameter of a rectangle?

The diameter of a rectangle is the same as its diagonal (angle in a semicircle is a right angle). So the diagonal forms a right angled triangle with the diagonal as the hypotenuse and two sides of the rectangle (a length and a breadth) forming the legs of the triangle. If the lengths of the sides of the rectangle are known, a simple application of Pythagoras's theorem given the measure of the diagonal.