0
Which formula exhibits the pythagorean theorem for a right triangle with c representing the hypotenuse and the legs representing by a and b?
a2 + b2 = c2
what this formula means is that if you square the two shortest lengths on a right triangle and add them together you would get the square of the longest side, or the hypotenuse
for example if a is 3, b is 4, and c is 5 you would get 9 (32) + 16(42) = 25 (52) and that symplifies to 25=25
What else can I help you with?
Consider a triangle with side lengths a and b and hypotenuse length c If then the converse of the Pythagorean theorem says that the triangle is a right triangle?
If it weren't, it wouldn't have a hypotenuse!
Definition of converse for pythagorean theroem?
Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.
Pythagorean theorem says that the triangle is a?
A triangle is a right triangle if the sum of the squares of the two legs is equal to the square of the hypotenuse.
Converse of Pythagorean Theorem?
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
Where is pythagorean theorem used?
To find the side lengths and hypotenuse of a right angle triangle.
How do you find the length to a missing side of a right triangle?
Pythagorean Theorem: a2 + b2= c2 where c is the hypotenuse of a right triangle. Hypotenuse is the side of a right triangle opposite to the right angle.
How do you calculate height of triangle if base is 2 and hypotenuse is 3?
Since the triangle has a hypotenuse, it must be a right triangle. Therefore, the Pythagorean theorem applies, and the height of the triangle must be sq rt (32 - 22).
What was the pythagorean theorem used for?
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides.
How can you use the pythagorean theorem to find out if a triangle is a right triangle?
The pythagorean theorem states that a2 + b2 = c2. This means that in a right triangle, both legs squared will add up to the hypotenuse squared. To see if a triangle is a right side, add up the two legs squared and see if it equals the hypotenuse.
How do you find hypotenuse square?
Sum the squares of the other two legs of the triangle. This is the Pythagorean Theorem.
What is the length of the hypotenuse of a right triangle if the legs have length of 4 cm?
You learn the Pythagorean theorem.
What if the pythagorean theorem gives you a triangle that is not right?
The pythagorean theorem is only used for a right triangle. Formula: a^2+b^2=c^2 the "a" and "b" represent the legs of the triangle and the "c" represents the hypotenuse.
