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Constructions — Maths STD 9 — Question

Gujarat 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 $BC = 6\ cm,$ $\angle\text{C}=30^\circ$ and $ AC - AB = 4\ cm.$
✓

Answer

Since difference of two sides of a triangle is always smaller than the third side.
Here, $AC - AB (= 4\ cm) < BC (= 6\ cm).$
Therefore, the given triangle can be constructed and given statement is true.

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