Geometry and TrigonometryHardLargest angle of a 7-24-25 triangle
Geometry and Trigonometry practice question
A triangle has sides of length 7, 24 and 25. What is the measure, in degrees, of its largest angle?
Answer: 90
7² + 24² = 49 + 576 = 625 = 25², so the triangle satisfies the Pythagorean relation. It is a right triangle, and the largest angle — opposite the longest side — is 90°.
Common wrong answers
- If you answered 45
- 45 would be the acute angle of an isosceles right triangle, but the legs 7 and 24 aren't equal.
- If you answered 60
- 60 would be right for an equilateral triangle; the sides here are unequal.
- If you answered 180
- No single angle of a triangle can be 180°.
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