If a triangle has sides measuring 60 in., 75 in., and 45 in . in length, is it right triangle? "Hint: Use the converse of the Pythagorean Theorem to check. Don't forget to use your Desmos calculator and STAAR Reference Sheet to hel, (1 point) No, because 9,225 does not equal 2,025 . Yes, because 3,600 equals 3,600 No, because 5,625 does not equal 3,600 . Yes, because 5,625 equals 5,625

To determine if the triangle with sides measuring 60 in., 75 in., and 45 in. is a right triangle, you can use the converse of the Pythagorean Theorem. So, square the lengths of the longest side (75 in.) and compare it to the sum of the squares of the other two sides. You’ll calculate: \( 75^2 = 5,625 \) and \( 60^2 + 45^2 = 3,600 + 2,025 = 5,625 \). Since both sides equal, this triangle is indeed a right triangle! When working with the Pythagorean theorem, one common mistake is misidentifying the longest side, thinking it’s enough just to use any two sides. Always remember that the Pythagorean theorem applies specifically to right triangles where the longest side (hypotenuse) is opposite the right angle. So, ensure you square the longest side and compare it correctly for a proper conclusion!