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Maths 2 Marks Questions

Triangles · Jharkhand Board (JAC) STD 9 (Jharkhand - English Medium). 3 questions.

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2 Marks Questions

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Question 12 Marks
‘If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.’ Is the statement true? Why?
Answer
No, because sides must be corresponding sides.
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Question 22 Marks
‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent’. Is the statement true? Why?
Answer
No, because in the congruent rule, the two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle i.e, $SAS$ rule.
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Question 32 Marks
In $\triangle\text{PQR},\angle\text{P}=70^{\circ}$ and $\angle\text{R}=30^{\circ}.$ Which side of this triangle is the longest? Give reason for your answer.
Answer
In $\triangle\text{PQR},$ we have
$\angle\text{Q}=180^{\circ}-(\angle\text{P}+\angle\text{R})$
$=180^{\circ}-(70^{\circ}+30^{\circ})=180^{\circ}-100^{\circ}$
$=80^{\circ}$
Now, in the larger and side opposite to greater angle is loger.
Hence, $PR$ is the longest side.
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