alleryFor longest side c, which condition makes a triangle obtuse?
Aa² + b² = c²
Ba² + b² < c²
Ca² + b² > c²
Da² - b² = c²
Answer & Solution
Correct answer: B. a² + b² < c²
A triangle is obtuse when the square of its longest side c exceeds a² + b².
Keep practising Geometry: Pythagoras theorem
Browse all Geometry: Pythagoras theorem questions for ICSE Class 9, or explore more Mathematics topics.
Related questions
Match each triangle classification based on side lengths (a ≤ b < c):Match each geometric figure with its diagonal calculated via Pythagoras:Match each pair of legs with the computed hypotenuse:Match each right-triangle property with the Pythagorean principle:Which coordinate geometry formula derives from Pythagoras's theorem?Can the acute angles of a Pythagorean triangle have rational degrees?The integer area of any Pythagorean triangle is always divisible by:What is the largest integer that always divides the product abc?