Question

find the value of x in the figure ​

Answer 1

Solution -

We have a right angled triangle LMN, right angled at M.

• Height = LM = 7
• Base = MN = 24
• Hypotenuse = LN = x

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To find :-

• Value of x.

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According to Pythagoras theorem, square of hypotenuse is equal to the sum of squares of other two sides.

⠀⠀⠀⠀⠀⠀⠀•°• LN² = LM² + MN²

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→ (x)² = (7)² + (24)²

→ x² = 49 + 576

→ x² = 625

→ x = √625

→ x = 25 units

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Thus, value of x is 25 units.

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Answer 2

Given:-

• Height of a right angled triangle is 7.
• Base of a right angled triangle is 24.
• Hypotenuse of a right angled triangle is x.

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To find:-

• Value of x.

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Solution:-

★ In this question we have the height, base and hypotenuse of a right angled triangle. We have to find out the value of x. Let's do it.

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According to the question,

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⇢ LN² = LM² + MN²

⇢ (x)² = (7)² + (24)²

⇢ x² = 49 + 576

⇢ x² = 625

⇢ x = √625

⇢ x = 25

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Hence,

• The value of x is 25 units.