0
Still curious? Ask our experts.
Chat with our AI personalities
Coach
Vivi
SteveAdd your answer:
Earn +20 pts
How do you know if a triangle is a right triangle using the pythagorean therom?
We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).
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.
Which is the result derived from the pythagorean theorem?
If you know any two sides of a triangle (and know that one of the angles is a right angle), you can calculate the third side. Also, if you know the third side of a triangle, you can check whether the angle opposite the hypothenuse is a right angle or not.
What if using pythagorean theorem find the leg of a triangle with a hypotenuse of twelve and side length of fifteen?
The hypotenuse is 15, because in a right triangle the biggest side of it is the hypotenuse. hypotenuse^2 = side^2 + side^2 substitute what you know into the formula; 15^2 = 12^2 + side^2 subtract 12^2 to both sides; 15^2 - 12^2 = side^2 81 = side^2 square both sides and ignore the negative value because the length is positive; 9 = side Thus, the other leg is 9.
Does 8 10 12 make a right triangle?
no the way to find out the answer is to use Pythagorean theorem (a2 + b2 = c2) a is one of the sides touching the right angle, b is the other side touching it and c is the hypotenuse ( the side that's not touching the right angle). the biggist side in a right triangle will always be the hypotenuse. you can plug in 12 to c because we know it's the biggest. the other two sides become a and b. this equation only works on right triangles so when we plug everything in, if they don't equal each other than it's not a right triangle. otherwise it is. a2 + b2 = c2 , 82 + 102 = 122 , 64 + 100 = 144 , 164 = 144. these numbers don't equal each other so these sides don't make a right triangle.
