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Choose whether the given statement is true or false.

The following triangles can be constructed,

A) ΔABC, AB = 4cm, BC = 5cm, AC = 6cm
B) ΔKLM, KL = LM = KM = 5cm

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True

False

answer is A.

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Detailed Solution

A) We need to construct a triangle whose sides are 4 cm, 5 cm and 6 cm.
Follow the given steps to solve the question.
Let us draw the base of the triangle AC = 6 cm.

Draw an arc of 4cm from A on the upper side of AC.
seo

Now, draw another arc of 6 cm from A on the upper side of AC, intersecting the previous arc. Mark this point of intersection as point B.
seo

Join points B to A and B to C to complete the ΔABC.
seo

B) Now we need to construct a triangle whose sides are 5 cm, 5 cm and 5 cm.
Firstly draw the base of the triangle LM = 5 cm.

Draw an arc of 5 cm from L, on the upper side of LM.
seo

Similarly, draw an arc of 5 cm from M, on the upper side of LM, intersecting the previous arc. Mark this point of intersection as point K.
seo

Join points K to L and K to M to complete the ΔKLM.
seo

Hence, the given statement is true.

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