हिंदी

АВС is an isosceles triangle with AB = AC = 13 cm and the length of altitude from A on BC is 5 cm. Then, BC = ?

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प्रश्न

ΔАВС is an isosceles triangle with AB = AC = 13 cm and the length of altitude from A on BC is 5 cm. Then, BC = ?

विकल्प

  • 12 cm

  • 16 cm

  • 18 cm

  • 24 cm

MCQ
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उत्तर

24 cm

Explanation:

In an isosceles triangle the altitude from the apex A to base BC bisects BC.

So, each half of BC has length

`sqrt(13^2 - 5^2) = sqrt(169 - 25)` 

= `sqrt(144)`

= 12 

Therefore, BC = 2 × 12 = 24 cm.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [पृष्ठ ४५२]

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 10. | पृष्ठ ४५२
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