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triangle has a right angle 1

problem: triangle has a right angle 1


a) Does an 7, 14, 15 triangle have a right angle?

b) Does an 5, 12, 13 triangle have a right angle?
 
 

answer: triangle has a right angle 1


a) Does an 7, 14, 15 triangle have a right angle?
 
a² + b² = c²

7² + 14² = 15²

49 + 196 = 225

245 = 225

No, it doesn’t have a right angle.

 
b) Does an 5, 12, 13 triangle have a right angle?

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169

Yes, it does have a right angle.