हिंदी

If perimeter of given triangle is 38 cm, then length AP is equal to _________. - Mathematics

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प्रश्न

If perimeter of given triangle is 38 cm, then length AP is equal to _________.

विकल्प

  • 19 cm

  • 5 cm

  • 10 cm

  • 8 cm

MCQ
रिक्त स्थान भरें

उत्तर

If perimeter of given triangle is 38 cm, then length AP is equal to 5 cm.

Explanation:

Tangents drawn from an external point to a circle are equal.

AP = AQ

BP = BR

CR = CQ

Given the perimeter of a triangle = 38 cm

AB + BC + AC = 38 cm

(AP + PB) + (BR + RC) + (AQ + QC) = 38 cm

AP + 6 cm + 6 cm + 8 cm + AQ + 8 cm = 38 cm

28 cm + 2AP = 38 cm

2AP = 38 cm − 28 cm

AP = `10/2` cm

= 5 cm

∴ AP = 5 cm

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