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A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm. - Mathematics

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प्रश्न

A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Here, ∠B = 105°, ∠C = 90°

And AB + BC + CA = 10 cm

We know that, sum of angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

Here, ∠B + ∠C = 105° + 90°

= 195° > 180° which is not true.

Thus, ΔABC with given conditions cannot be constructed.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Construction - Exercise 11.2 [पृष्ठ १०९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 11 Construction
Exercise 11.2 | Q 5. | पृष्ठ १०९

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