Math Problem Statement

Which of the following is true?

Responses

a+b=c2 can be used to find a missing side length of a right triangle

A plus b is equal to c squared can be used to find a missing side length of a right triangle

Pythagorean Theorem can be applied to any triangle 

Pythagorean Theorem can be applied to any triangle 

The longest side of a right triangle is opposite to the right angle

The longest side of a right triangle is opposite to the right angle

The hypotenuse is the shortest side of a triangle

Solution

The correct statement is:

The longest side of a right triangle is opposite to the right angle.

This is a basic property of right triangles. The longest side, called the hypotenuse, is always opposite the right angle (90°).

Let's break down why the other statements are incorrect:

  1. a+b=c² can be used to find a missing side length of a right triangle: This is incorrect. The correct form of the Pythagorean Theorem is a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse.

  2. A plus b is equal to c squared can be used to find a missing side length of a right triangle: Again, this is incorrect. The correct equation is a² + b² = c², not a + b = c².

  3. Pythagorean Theorem can be applied to any triangle: This is incorrect. The Pythagorean Theorem only applies to right triangles (triangles with a 90° angle).

  4. The hypotenuse is the shortest side of a triangle: This is incorrect. The hypotenuse is the longest side of a right triangle, not the shortest.


Would you like a detailed explanation of the Pythagorean Theorem or more examples? Let me know if you have any questions!


Here are 5 related questions:

  1. How do you use the Pythagorean Theorem to find a missing side in a right triangle?
  2. Can the Pythagorean Theorem be applied to non-right triangles?
  3. How do you determine whether a triangle is a right triangle using the Pythagorean Theorem?
  4. What happens if the Pythagorean Theorem does not hold for a given set of side lengths?
  5. What are some real-world applications of the Pythagorean Theorem?

Tip: Remember that the Pythagorean Theorem only works for right triangles, where one of the angles is 90°.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Right Triangles
Pythagorean Theorem

Formulas

a² + b² = c²

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 7-10