Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed?

If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle.

If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle.

If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Question

Jorge

Mathematics

25 December, 00:41

Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed?

If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle.

If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle.

If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

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Answers (1)

Know the Answer?

Nathanial West · Answer 1

Correct answer:

" If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle"

the Pythagorean theorem states that in a right triangle, the sum of the squares of the shortest sides is equal to the square of the largest side, the hypotenuse.

Also,

If we have a triangle with side lengths a, b and c, where a and b are the shortest, and "a squared plus b squared = c squared" then the triangle is a right triangle.