Question

Find the unknown length in the following figures:​

Answer 1

Step-by-step explanation:

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Answer 2

Required Solution:

( i ) We know that the side opposite to the right angle is called the hypntenuse.

∴ AC² = BC² + AB²

➟ x² = 8² + 15²

➟ x² = 64 + 225

➟ x² = 289

➟ x² = (17)²

➟ x = 17

• Hence, The solution of (i) = 17cm

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( ii ) By pythagoras theorem,

PR² = QR² + PQ²

∴ 5² = 4² + x²

➟ 25 = 16 + x²

➟ x² = 25 – 16

➟ x² = 9

∴ x = 3

• Hence, the solution of (ii) = 3cm

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( iii ) By pythagoras theorem,

XZ² = YZ² + XY²

➟ x² = 7² + 24²

➟ x² = 49 + 576

➟ x² = 625

➟ x² = (25)²

➟ x = 25

• Hence, the solution of (iii) = 25cm

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