Question

These three lengths form a triangle. Using Pythagorean Theorem Converse, classify as Acute, Right or Obtuse. 8, 9, 10

Answer 1

The triangle formed by the lengths 8, 9, and 10 is classified as Acute using the Pythagorean Theorem Converse.

Step-by-step explanation:

To classify the triangle as Acute, Right, or Obtuse using the Pythagorean Theorem Converse, we need to determine if the sum of the squares of the two shorter sides is greater than, equal to, or less than the square of the longest side (hypotenuse).

In this case, the lengths given are 8, 9, and 10. Let's calculate:

8² + 9² = 64 + 81 = 145

10² = 100

Since 145 > 100, the sum of the squares of the two shorter sides is greater than the square of the longest side. Therefore, the triangle is Acute.