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a2 +b2 = c2 (c is the longest side/or hypotenuse)

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Q: How do you find the length of the third side of a right angled triangle?
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Identify the triangle one 30 degrees angle one 60 degrees angle?

Right angled triangle because the third angle must be 90 degrees.


What does the pythagorem state?

If you are referring to the Pythagorean Theorem, it is that a2 + b2 = c2. A and B are the two shorter sides and C is the hypotunuse. This formula applies to any right-angled triangle, where you have the known length of two sides, and want to find the length of the third side.


What is the length of the third side of an equilateral triangle have?

The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.


In the right triangle abc angle c is the right angle line ac is 3 and line ab is 5 so if point d is on hypotenuse ab that is to 1 what is the area of dbc?

The triangle is a right angled triangle with sides measuring 3 (and 4) and the hypotenuse of length 5. Note - The length of the third side bc = 4, can be calculated using Pythagoras Theorem. If d is 1 unit of length along the hypotenuse and a perpendicular line is drawn from bc to d (meeting bc at e) then the triangle bde is similar to triangle bac. Then ca/ba = 3/5 = ed/bd = ed/1. Thus ed = 3/5 units in length. The area of a triangle = ½ x base x vertical height. The area of triangle dbc = ½ x bc x ed = ½ x 4 x 3/5 = 1.2 sq units.


How do you determine the length of the 3rd leg in a right triangle if you have the length of the other two legs?

A right triangle only has two legs, the third side is called the hypotenuse . The square of the length of the hypotenuse is equal to the sum of the squares of the two legs. The square root of the difference of the square of the hypotenuse and the square of one leg is equal to the length of the other leg.

Related questions

A right-angled triangle has a hypotenuse of 25cm and one side of 15cm what is the length of the third side?

The length of the third side is 20 cm


When and how to use the Pythagorean theorem?

Definition:Pythagorean theorem (also known as Pythagoras' theorem) is a mathematical statement about the relation among the three sides of a right triangle (right-angled triangle).It states:"In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."In any right-angled triangle, if the sides forming the right-angle are known as a and b and the hypotenuse as c, then the relation among the three sides of a right triangle is given by this equation: a2 + b2 = c2.When to use it:If the length of two sides of a right angled triangle are already known, you can find the unknown length of the third side.How to use it:As you know the relation among the three sides of a right triangle is represented by the equation a2 + b2 = c2 , substitute the known values in the equation and find out the length of the third side by solving the equation.See the related link.


If two angels in a triangle are complentary what is the triangle?

The third angle must be 90 degrees so it's a right-angled triangle


How do you find the unknown length of a triangle?

If two sides are given and you need to know the length of the third side use the Pythagrean Theorem formula. Then you find the square root. c² = a² + b²* * * * *That is useful only if the triangle is a right angled triangle. Most are not. The correct answer depends on what information you do have.


Where to use Pythagoras property?

We use Pythagoras property to find the length of the third side, when two sides of a right-angled triangle are given by the following formula: In a right triangle, Square of hypotenuse = sum of squares of other two sides.


How do you determine if a triangle is a right triangle?

For a right angled triangle, sum of squares of two sides of a triangle equals square of the third side. For example - In triangle ABC, AB2 + BC2 = AC2


What type of triangle has sides of 25cm and 87cm?

It could be acute, right angled, obtuse andscalene or isosceles (unless it is right angled).Which depends upon the length of the third side (which must be between 62 cm and 112 cm exclusive):If the third side is greater than 62 cm and less than √6944 (≈ 83.331) cm, or greater than √8194 (≈ 90.521) cm and less than 112 cm then it is an obtuse scalene triangle.If the third side is greater than √6944 (≈ 83.331) cm and less than 87 cm, or greater than 87cm and less than √8194 (≈ 90.521) cm then it is an acute scalene triangleIf the third side equals √6944 (≈ 83.331) cm or √8194 (≈ 90.521) cm then it is a right angled triangleIf the third side equals 87 cm then it is an acute isosceles triangle.


What is the base length of an isosceles triangle that two sides are 34 cm and the height is 30?

Draw a line joining the top vertex to the middle of the base. This divides the triangle into two right-angled triangles, which are congruent (both have the same side lengths and angles). Each right-angled triangle has a hypotenuse length of 34 cm (the hypotenuse is the side opposite the right angle). They also have a side which is the height of the triangle, 30 cm. By Pythagoras' theorem, the third side of each right-angled triangle is 16 cm long because 342 - 302 = 1156 - 900 = 256 = 162 The base of the isosceles triangle is twice that, so it's 32 cm long.


What does the formula for Pythagoras Theorem mean?

It means there is a fixed relationship between the three sides of a right angled triangle. If you know the length of two of the sides then the third can be calculated. It has other implications in geometry and trigonometry also.


What information is needed to apply Pythagoras Theorem?

Pythagoras theorem simply tells you the length of a side of a Right Angled Triangle if the other two sides are given. You only need the length of any two sides to calculate the length of the third onePythagoras theorem:Hypotenuse2 = base2 + perpendicular2


What is the length of the third side in 6.0 and 8.0?

If the third side is the hypotenuse of a right triangle, it is 10.0


How do you solve to find a right triangle of you are given three sides?

Square the two smaller sides and add them together. Take the square root of the answer. If that is the same as the third side then you have a right angled triangle and if not, then you have not.