Questions: Question 20 of 25 (1 point) Question Attempt: 1 of 1 Are the triangles below acute, obtuse, or right? Triangle A Triangle B Triangle C Triangle D ------------ Acute Obutse Right Acute Obutse Right Acute Obutse Right Acute Obutse Right

Solution Steps

For Triangle A with sides \(3\), \(4\), and \(5\):

• Calculate \(3^2 + 4^2 = 9 + 16 = 25\)
• Compare with \(5^2 = 25\)
• Since \(3^2 + 4^2 = 5^2\), Triangle A is classified as a Right triangle.

For Triangle B with sides \(5\), \(12\), and \(13\):

• Calculate \(5^2 + 12^2 = 25 + 144 = 169\)
• Compare with \(13^2 = 169\)
• Since \(5^2 + 12^2 = 13^2\), Triangle B is classified as a Right triangle.

For Triangle C with sides \(7\), \(24\), and \(25\):

• Calculate \(7^2 + 24^2 = 49 + 576 = 625\)
• Compare with \(25^2 = 625\)
• Since \(7^2 + 24^2 = 25^2\), Triangle C is classified as a Right triangle.

For Triangle D with sides \(8\), \(15\), and \(17\):

• Calculate \(8^2 + 15^2 = 64 + 225 = 289\)
• Compare with \(17^2 = 289\)
• Since \(8^2 + 15^2 = 17^2\), Triangle D is classified as a Right triangle.

Final Answer