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Question
In the figure below, find the value of 'x'.
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Solution
In the right-angled triangle LMN,
∠M = 90°
∴ 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
⇒ x = `root 625`
⇒ x = 25
∴ The value of x is 25.
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