In a triangle, if square of the longest side is equal to the sum squares of other two sides then the angle opposite to the longest side is a right angle i.E., the triangle is a right angled triangle.
Answers
Answer:
Pythagoras theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. The hypotenuse is the longest side and it's always opposite the right angle.
Answer:
c
Step-by-step explanation:
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.