Given that AB = 5 cm and BC = 3 cm, which of the following information is required to construct $△ A B C$ ?

AC = 4 cm

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∠ A C B

60^{\circ}

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AD = 3 cm

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None of the above

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Solution

The correct option is A AC = 4 cm
A triangle can be constructed if we know all the three sides.

Steps involved to construct a triangle, given all the three sides is as follows:

Draw a rough sketch of the triangle.

Draw one of the sides, say AB = 5 cm.(We can start with any side, but usually the longest side is taken.)

Using compass and taking A as centre, draw an arc of the circle of radius 4 cm.

With B as centre, draw an arc of the circle of radius 3 cm that cuts the first arc of the circle at point C.

Join AC and BC.

Suggest Corrections

Similar questions

$In each of the following cases,given reasons to show that the construction of Δ A B C i s n o t p o s s i b l e : (i) A B = 6 c m, ∠ A = 40^{\circ} a n d (B C + A C) = 5.58 c m (i i) A B = 7 c m, ∠ A = 50^{\circ} a n d (B C - A C) = 8 c m (i i i) B C = 5 c m, ∠ B = 80^{\circ}, ∠ C = 50^{\circ}, a n d ∠ A = 60^{\circ} (i v) A B = 4 c m, B C = 3 c m, a n d A C = 7 c m .$

Q. Given that AB = 4cm and BC = 6.5cm , which of the following information is required to construct

△ A B C

Q. Given that AB = 5 cm and BC = 3 cm, which of the following information is required to construct

△ A B C

Q. Given that

∠ A = 50^{\circ}

and

∠ B = 60^{\circ}

, which of the following information is required to construct

△ A B C

Q. In which of the following, unique

△

ABC cannot be constructed with the given information? Assume AB = 5 cm for each of the options.

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Given that AB = 5 cm and BC = 3 cm, which of the following information is required to construct △ABC?

Given that AB = 5 cm and BC = 3 cm, which of the following information is required to construct $△ A B C$ ?