The sides of a rectangle (in cm) , are x and (x + 5 ) and its diagonal is 25 cm. Then x = ?............
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Answered by
0
Answer:
Step-by-step explanation:
Using Pythagoras theorem,
x² + (x+5)² = 25²
=> x² + x²+10x + 25 = 625
=> 2x² + 10x - 600 = 0
=> x² + 5x - 300 = 0
=> x²+20x - 15x - 300 = 0
=>x(x+20) - 15(x+20) = 0
=> (x+20)(x-15) = 0
=> x = -20 or 15.
Since x cannot be negative, x = 15.
Thus the lengths of sides are 15 cm and 20 cm.
Answered by
0
Answer:
15cm and 20cm
Step-by-step explanation:
Using Pythagoras theorem,
x² + (x+5)² = 25²
=> x² + x²+10x + 25 = 625
=> 2x² + 10x - 600 = 0
=> x² + 5x - 300 = 0
Splitting Middle term
=> x²+20x - 15x - 300 = 0
=>x(x+20) - 15(x+20) = 0
=> (x+20)(x-15) = 0
=> x = -20 or 15.
Since x cannot be negative, x = 15.
Thus the lengths of sides are 15 cm and 20 cm.
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