Question 5
Below are given the measures of certain sides and angles of triangles. Identify those which cannot be constructed and, say why you cannot construct them. Construct rest of the triangle.
$\begin{matrix} T r i a n g l e & G i v e n m e a s u r e m e n t s 5. & Δ A B C & B C = 2 c m & A B = 4 c m & A C = 2 c m \end{matrix}$

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Solution

$Δ$ ABC, BC=2cm, AB=4cm and AC = 2cm
This $Δ$ ABC is not possible to construct because the condition is sum of lengths of two sides of a triangle should be greater than the third side.
AB<BC+AC $\Rightarrow$ 4<2+2 $\Rightarrow$ 4=4,

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Question 5 Below are given the measures of certain sides and angles of triangles. Identify those which cannot be constructed and, say why you cannot construct them. Construct rest of the triangle. TriangleGiven measurements5.Δ ABCBC=2cmAB=4cmAC=2cm

Δ ABC, BC=2cm, AB=4cm and AC = 2cm This Δ ABC is not possible to construct because the condition is sum of lengths of two sides of a triangle should be greater than the third side. AB<BC+AC ⇒ 4<2+2⇒ 4=4,

$Δ$ ABC, BC=2cm, AB=4cm and AC = 2cm
This $Δ$ ABC is not possible to construct because the condition is sum of lengths of two sides of a triangle should be greater than the third side.
AB<BC+AC $\Rightarrow$ 4<2+2 $\Rightarrow$ 4=4,