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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 AB = 5cm, $\angle\text{A}=45^\circ$ and BC + AC = 5cm.
✓

Answer

False.
Solution:
Here AB = BC + AC = 5cm. Since sum of two sides of a triangle is always greater than the third side, so we cannot construct a triangle in which AB = BC + AC.

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