Question

The side lengths of a triangle are 7, 23, and 25. Is this triangle a right triangle? Show all work on paper or in the box

below, and select from the drop-down to complete the sentence that follows.

Answer 1

A triangle with sides 7, 23, and 25 is not a right triangle.

Explanation:

Answer 2

No, the triangle with side lengths 7, 23, and 25 is not a right triangle.

To determine whether the triangle with side lengths 7, 23, and 25 is a right triangle, we can apply the Pythagorean Theorem. According to the theorem, in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b), i.e., c^2 =a^2 +b^2.

For this triangle, with side lengths 7, 23, and 25, we can calculate:

7^2 +23^2 =49+529=578

25^2=625

Since 578≠625, it indicates that the triangle does not satisfy the Pythagorean Theorem. Therefore, the triangle is not a right triangle.