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What is the dimensions of the footprint of the triangle if the hypotenuse is 80 feet longer that one leg and 40 feet longer than the other leg Use the Pythagorean Theory.?
Gnarva01
a<sup>2</sup> + b<sup>2</sup> = c<sup>2</sup>
I'm going to start with Pythagorean triples.
3-4-5 doesn't work with this triangle. But if we multiply each of the values by 4, we get 12-16-20. A perfect match if we multiply them again by 10!
So the dimensions of the triangle are 120 (short leg), 160 (long leg), and 200 (hypotenuse).
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∙ 15y ago
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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 formula?
Of a right angle triangle a2+b2 = c2 where a and b are the sides and c is the hypotenuse.
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
What is the difference in the distance formula and the Pythagorean theorem?
The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.
What is the pythagorean theorem not just the formula?
The square on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares on the two adjacent sides.
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!
What is the hypotenuse dimension for a right triangle with 3 and 4 leg dimensions?
The hypotenuse dimension for a right triangle with 3 and 4 leg dimensions is: 5
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.
