Following are the measures of certain sides and angles of triangle. You have to identify which cannot be constructed and say why it cannot be constructed. Now, construct the triangle if possible.
In $△ ABC, AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm$

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Solution

Given, in $△ ABC, AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm$
We know that the construction of a triangle is possible only for the following cases :
$1 .$ All three sides of the triangle are given
$2 .$ Two angles and the included side are given
$3 .$ Two sides and the included angle are given
$4 .$ In right angle triangle, hypotenuse and one side are given
In the given question, only two sides $AB and BC$ of the triangle are given.
Therefore, $△ ABC$ cannot be constructed.

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Following are the measures of certain sides and angles of triangle. You have to identify which cannot be constructed and say why it cannot be constructed. Now, construct the triangle if possible.In △ABC,AB=4.5cm,BC=5.5cm,CD=4cm

Following are the measures of certain sides and angles of triangle. You have to identify which cannot be constructed and say why it cannot be constructed. Now, construct the triangle if possible.
In $△ ABC, AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm$