Questions: 7th grade practice 7-4 -8th All Bockmarks Question 7 of 10 Next Question Question 7 Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle? Select Choice Need help with this question? Next Question Done and Review Q2025 McGraw Hill. All Rights Reserved. Privacy Center Terms of Use Minimum Requirements Platrorm Status Center Sign out Jan 17 7: 37 us

Determine if the triangle formed by the three cities is a right triangle.

Identify the sides of the triangle.

The distances between the cities are \( a = 45 \), \( b = 56 \), and \( c = 72 \). Here, \( c \) is the longest side.

Apply the Pythagorean theorem.

To check if the triangle is a right triangle, we need to verify if \( a^2 + b^2 = c^2 \). Calculating, we find \( 45^2 + 56^2 = 2025 + 3136 = 5161 \) and \( 72^2 = 5184 \). Since \( 5161 \neq 5184 \), the triangle is not a right triangle.

The triangle is not a right triangle, so the answer is \\(\boxed{\text{False}}\\).

The triangle is not a right triangle, so the answer is \\(\boxed{\text{False}}\\).