Maharashtra State BoardSSC (English Medium) 7th Standard

In the Figure Below, Find the Value of 'X'. - Mathematics

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Sum

In the figure below, find the value of 'x'.

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Solution

In the right-angled triangle LMN, ∠M = 90°. Hence, side LN is the hypotenuse.
According to Pythagoras' theorem,
l(LN)2 = l(LM)2 + l(MN)2
⇒ (x)2 = (7)2 + (24)2
⇒ x2 = 49 + 576
⇒ x2 = 625
⇒ x2 = (25)2
⇒ x = 25
∴ The value of x is 25.

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Chapter 13: Pythagoras’ Theorem - Practice Set 48 [Page 90]

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Balbharati Mathematics 7th Standard Maharashtra State Board
Chapter 13 Pythagoras’ Theorem
Practice Set 48 | Q 1.1 | Page 90

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