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The Sides of a Triangle Are 26, 10 and 24. Use the Pythagorean Theorem to Determine If the Triangle Is Right, Acute, or Obtuse. Answer

Question

The sides of a triangle are 26, 10 and 24. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse. Answer Attempt sout of 2 The triangle is square because the square of the largest side square the sum of the squares of the other two sides.

Solution

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Sérgio Mestre · Tutor por 5 anos

Resposta

To determine if the triangle is right, acute, or obtuse, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.In this case, the sides of the triangle are 26, 10, and 24. We can assume that the largest side is the hypotenuse, which is 26.According to the Pythagorean Theorem, we need to check if the square of the largest side (26) is equal to the sum of the squares of the other two sides (10 and 24).Let's calculate: Since the square of the largest side (676) is equal to the sum of the squares of the other two sides (676), we can conclude that the triangle is a right triangle.Therefore, the triangle is right because the square of the largest side (26) is equal to the sum of the squares of the other two sides (10 and 24).