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Modern carpentry is so much easier when the Pythagorean Theorem is applied to the task at hand. Roof framing, squaring walls, and foundations rely on this basic principle of mathematics. Basics of the Pythagorean Theorem In geometry this theorem states, in a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. In a right triangle one angle equals 90 degrees. The hypotenuse is on the opposite side of the right triangle. Here is the formula for the Pythagorean Theorem. a squared + b squared = c squared In this formula, crepresents the length of the hypotenuse, a and b are the lengths of the other two sides. If two sides of a right triangle are known, you can substitute these values in the formula to find the missing side.
What else can I help you with?
How does the Pythagorean Theorem work?
The Pythagorean Theorem explains (or permits calculation of) the length of one side of a right triangle if the lengths of the other two sides are known. A right triangle is a triangle in which one of the three angles is a right angle (i.e. it has 90 degrees) For that kind of triangle, if A = the length of one of the sides making the right angle, B = the length of the other side making the right triangle, and C = the length of the side opposite to the right angle (also called the hypotenuse, then C2 = A2 + B2
What is the third length of a triangle with 5ft and 12ft?
Any number between 8-16 If you do 12+5=17 the other side can't be 17 because then the triangle would be flat so it's any number lower than 17. Also, 12-5= 7. Again, 7 can't be the third side of this traingle because it would make the triangle flat. so any number higher than 7 would work.
How would you work out the perpendicular height of a triangle if they give you the area?
I think you need at least one other piece of information. A length of a side? An angle? Is it a right angled triangle?
What is theta?
It is a greek letter which is used to mark an unknown angle in a triangle when you are going to use trigonometry to work it out, eg. sin(theta)=length of opposite side/ length of hypoteneuse
How do you find the perimeter of a right angled triangle if you have one side missing?
Use two sides and Pythagoras's theorem to work out the third side. Then simply add the three sides.
How do you work out the perimeter of a right-angled triangle?
The perimeter of a triangle is side A plus side B plus side C. Since we are talking about a right triangle, if you know two sides, then you know the third by the Pythagorean Theorem: A2 + B2 = C2
If you only know the length of one side of a triangle how can you work out the length of the other sides using Pythagoras theorem?
You can't. You need 2 sides.
How do you work out a length of a triangle?
The way you can work out the length of a triangle is if you are given the height and the area of that triangle ( this works of you don't want to measure it) or you could just measure it.
Can you make a rectangle out of two triangles and a square?
Sure, place a triangle's hypotenuse (longest side) on the other triangle's hypotenuse, that will give either a square or a rectangle. Then place the square on one end of the rectangle. For this to work though, the length of the square's side HAS to equal the length of the triangles hypotenuses, and likewise each triangle's hypotenuse much equal the length of a side of the square. Hope this is clear.
Given two sides with lengths 34 and 14 which number would not work for the third side of the triangle?
18
How does the Pythagorean Theorem work?
The Pythagorean Theorem explains (or permits calculation of) the length of one side of a right triangle if the lengths of the other two sides are known. A right triangle is a triangle in which one of the three angles is a right angle (i.e. it has 90 degrees) For that kind of triangle, if A = the length of one of the sides making the right angle, B = the length of the other side making the right triangle, and C = the length of the side opposite to the right angle (also called the hypotenuse, then C2 = A2 + B2
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 is the third length of a triangle with 5ft and 12ft?
Any number between 8-16 If you do 12+5=17 the other side can't be 17 because then the triangle would be flat so it's any number lower than 17. Also, 12-5= 7. Again, 7 can't be the third side of this traingle because it would make the triangle flat. so any number higher than 7 would work.
How would you work out the perpendicular height of a triangle if they give you the area?
I think you need at least one other piece of information. A length of a side? An angle? Is it a right angled triangle?
Could you get another right angle by adding 1 to the length of each side of a right triangle By doubling each side?
Not by adding, but doubling (multiplying by 2) will work.
What is theta?
It is a greek letter which is used to mark an unknown angle in a triangle when you are going to use trigonometry to work it out, eg. sin(theta)=length of opposite side/ length of hypoteneuse
How can you use specific numbers to help you remember the relationship between the lengths of the three sides in a triangle?
The sum of the lengths of any two sides of a triangle always exceeds the length of the third side. If that is hard to remember, than pick numbers like 3,4, and 5 and note that they work. You can refer back to them as an example.
