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The hypotenuse of a right triangle is 25 cm and one of the remaining two sides is 5 cm longer than the other. The length of the other two sides is

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. 15 cm and 10 cm
  2. 15cm and 20cm
  3. 12 cm and 23 cm
  4. 10cm and 15cm

Answer (Detailed Solution Below)

Option 2 : 15cm and 20cm
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Detailed Solution

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Formula used

H2 = P2 + B2

Calculation

Let one side be x and other x + 5.

Applying pythagorus theorem,

H2 = P2 + B2

⇒ 252 = (x)2 + (x + 5)2

⇒ 625 = x2 + x2 + 25 + 10x

⇒ 600 = 2x2 + 10x

⇒ (x + 20)(x - 15) = 0

x = 15

x + 5 → 15 + 5 = 20

The answer is 15cm and 20cm.

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