Final answer:
(A) Right triangles
The Pythagorean Theorem applies to the side lengths of right triangles (option A), not to acute, obtuse, or all types of triangles. It states that a² + b² = c², referring to the legs and hypotenuse of a right triangle. It can also be used to calculate the resultant vector of two vectors at right angles.
Step-by-step explanation:
The Pythagorean Theorem is a foundational principle in mathematics that relates to the side lengths of a right triangle. Specifically, it states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse. This theorem is used to determine the length of a side when the lengths of the other two sides are known.
Regarding the options provided in the original question:
- (A) Correct - The Pythagorean Theorem is used for right triangles.
- (B) Incorrect - It is not used for acute triangles.
- (C) Incorrect - It is not used for obtuse triangles.
- (D) Incorrect - It is not applicable to all types of triangles, only to right triangles.
True or False: We can use Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other. The answer is True. Vectors at right angles form the legs of a right triangle with the resultant vector as the hypotenuse.