Maharashtra State BoardSSC (English Medium) 7th Standard

From the Given Figure, Find the Length of Hypotenuse Ac and the Perimeter of ∆Abc. - Mathematics

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Sum

From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.

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Solution

Given here is a right-angled triangle. So, we can apply Pythagoras theorem.

AB2 + BC2 = AC2

⇒ 202 + 212 = AC2

⇒ AC2 = 400 + 441 = 841

⇒ AC = 29 

Thus, the length of hypotenuse is 29 units. 

Perimeter of ∆ABC = AB + BC + CA = 20 + 21 + 29 = 70 units.

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Chapter 17: Miscellaneous Problems : Set 2 - Exercise [Page 100]

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Balbharati Mathematics 7th Standard Maharashtra State Board
Chapter 17 Miscellaneous Problems : Set 2
Exercise | Q 9 | Page 100

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