The triangle with sides of lengths a = 4, b = 5, and c = 7 is an obtuse triangle.

Name: The triangle with sides of lengths a = 4, b = 5, and c = 7 is an obtuse triangle.
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Question

Quizplus · Accepted Answer

In any triangle, the sum of the squares of the two shorter sides is greater than the square of the longest side if and only if the triangle is not obtuse. In this case, we have:

4^2 + 5^2 = 41
7^2 = 49

Since 41 < 49, the triangle is obtuse. Therefore, the answer is A)True.

The Triangle with Sides of Lengths a = 4, B