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Constructions — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSConstructions1 Mark
Question
Write True or False in the following. Give reasons for your answer:
A triangle ABC can be constructed in which $\angle\text{B}=60^\circ, \angle\text{C}=45^\circ$ and AB + BC + AC = 12cm.
✓

Answer

True.
Solution:
We know that, sum of angles of a triangle is 180°
$\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$
Here, $\angle\text{B}+\angle\text{C}=60^\circ+45^\circ=105^\circ<180^\circ$
Thus, $\triangle\text{ABC}$ with given conditions can be constructed.

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