in right angle triangle hypotenuse in 17 metre long and perimeter is 40 then find the perpendicular and it's base?
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Answered by
1
Answer:
8 m or 15 m and 15m or 8 m
Step-by-step explanation:
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Answered by
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Answer: perpendicular and base will be 8 and 15.
Step-by-step explanation:
Using Pythagoras Theorem
We get,
x^2 +y^2 = 17^2 = 289
We have,
17+x+y=40 which gibes
x+y=23 or y=23-x ......eq (2)
Now on squaring
x^2 +y^2 +2xy = 529
we get,
2xy = 240
using eq (2) we get,
x(23-x)=120
23x-x^2=120 ........eq(3)
On solving eq(3), we get
x=8 and y=15
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