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 EDF, ∠D = 90°. Hence, side EF is the hypotenuse.
According to Pythagoras' theorem,
l(EF)2 = l(ED)2 + l(DF)2
⇒ (17)2 = (x)2 + (8)2
⇒ 289 = x2 + 64
⇒ x2 = 289 − 64
⇒ x2 = 225
⇒ x2 = (15)2
⇒ x = 15
∴ The value of x is 15.

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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 1.3 | Page 90

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