Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm

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Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm

Last updated at Oct. 1, 2018 by

Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm

Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm
Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm

Example 1 Construct a triangle ABC, given that AB = 5 cm, BC = 6 cm and AC = 7 cm. First we draw a rough sketch We follow these steps Steps of construction 1. Draw a line segment AB of length 5 cm 2. Taking 7 cm as radius, and A as center, draw an arc. 3. Taking 6 cm as radius, and B as center, draw another arc. Let C be the point where the two arcs intersect Join AC and BC and label the sides Thus, Δ ABC is the required triangle

Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm

Dear Student, Please find below the solution to the asked query: We have our diagram from given information , As :

Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm

Here , AB  = 5 cm , BC  = 6 cm and AC = 7 cm We know " In any  triangle that angle opposite to the larger side is greater than the angle opposite to smaller side. " We have AB < BC , So

∠ ACB <  ∠ BAC                              --- ( 1 )

And we have BC  < AC , So

∠ BAC <  ∠ ABC                              --- ( 2 )

From equation 1 and 2  we get :

∠ ACB <  ∠ BAC  < ∠ ABC                                                        ( Ans )

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Name the largest and the smallest angle of a triangle abc in which ab 5cm bc 6cm and AC 7cm

Angle b is largest among all the other angles and the other two angles smaller than angle b.to prove this we should use the axiom "the angle which is opposite to the longest side is largest and the angle which is opposite to shortest side is smallest.