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in Triangles by (56.3k points)

Draw a triangle ABC, with AC = 4 cm, BC = 3 cm and ∠C = 80°. Measure AB. Is (AB)= (AC) + (BC)2? If not which one of the following is true:

(AB)> (AC)2 + (BC)2 or (AB)< (AC)+ (BC)2?

1 Answer

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by (30.5k points)
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Best answer

Draw △ABC as shown in the figure with following steps.

Draw a line BC = 3 cm.

At point C, draw a line at 80° angle with BC.

Take an arc of 4 cm from point C, which will cut the line at point A.

Now, join AB, it will be approximately 4.5 cm.

AC2 + BC2 = 42 + 32 

= 9 +16

= 25

AB2 = 4.52 

= 20.25

AB2 not equal to AC+ BC2

Therefore here AB< AC+ BC2

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