Which is Acute,Obtuse, and Right?(3, 5,and 7)(4.5, 6, and 7.5)(6, 8, and 9)(1.2, 2.5, and 3.1)(8, 15, and 17)(14, 19, and 21)

Answer 1

Please see below.

Although it has not been clearly mentioned, it appears that questioner has given the lengths of sides of #color(red)"six"# triangles.

Allow these to be

#DeltaA-(3, 5, 7)# #DeltaB-(4.5, 6, 7.5)# #DeltaC-(6, 8, 9)# #DeltaD-(1.2, 2.5, 3.1)# #DeltaE-(8, 15, 17)# #DeltaF-(14, 19, 21)#
In a right angled triangle say #Delta-(P,Q,R)#, if #R# is the largest side, then #R^2=P^2+Q^2#.
In an acute angled triangle say #Delta-(P,Q,R)#, if #R# is the largest side, then #R^2 < P^2+Q^2#.
In an obtuse angled triangle say #Delta-(P,Q,R)#, if #R# is the largest side, then #R^2 > P^2+Q^2#.
Hence as #7^2 > 3^2+5^2#, #DeltaA# is obtuse angled triangle.
As #7.5^2 = 4.5^2+6^2#, #DeltaB# is right angled triangle.
As #9^2 < 6^2+8^2#, #DeltaC# is acute angled triangle.
As #3.1^2 > 1.2^2+2.5^2#, #DeltaD# is obtuse angled triangle.
As #17^2 = 8^2+15^2#, #DeltaE# is right angled triangle.
As #21^2 > 9^2+14^2#, #DeltaF# is obtuse angled triangle.
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Answer 2

(3, 5, and 7) - Obtuse (4.5, 6, and 7.5) - Right (6, 8, and 9) - Acute (1.2, 2.5, and 3.1) - Acute (8, 15, and 17) - Right (14, 19, and 21) - Obtuse

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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