Question
Download Solution PDFThe 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
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula 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.
Last updated on Jan 29, 2025
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