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Yogita Ingle 5 years, 2 months ago
Let the length of the shorter side be x metres.
The length of the diagonal= 60+x metres
The length of the longer side =30+x metres
Applying Pythagoras theorem,
Diagonal²=longer side²+shorter side²
(60+x) ²= (30+x) ² + x²
3600+120x+x²=900+60x+x²+x²
2700+60x-x²=0
2700+90x-30x-x²=0
90(30+x)-x(30+x) =0
X=90,
Shorter side is 90m, longer side is 90+30=120m
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Yogita Ingle 5 years, 2 months ago
If you write p + 3 in place of p -2 then the answer is 4.
p−1,p+3,3p−1 are in A.P.
∴2(p+3)=p−1+3p−1
⇒2p+6=4p−2
⇒2p=8
∴p=4
Abhay Soni 5 years, 2 months ago
Yogita Ingle 5 years, 2 months ago
(p -2) - (p -1) = (3p -1) - (p -2)
p -2 - p + 1 = 3p - 1 - p + 2
-1 = 2p + 1
2p = -1 -1
2p = -2
p = -2/2 = -1
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| S.No | Rational Numbers | Irrational Numbers |
| 1 | Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. | Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number. |
| 2 | Rational Number includes numbers, which are finite or are recurring in nature. | These consist of numbers, which are non-terminating and non-repeating in nature. |
| 3 | Rational Numbers includes perfect squares such as 4, 9, 16, 25, and so on | Irrational Numbers includes surds such as √2, √3, √5, √7 and so on. |
| 4 | Both the numerator and denominator are whole numbers, in which the denominator is not equal to zero. | Irrational numbers cannot be written in fractional form. |
| 5 | Example: 3/2 = 1.5, 3.6767 | Example: √5, √11 |
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Riya Philip 5 years, 2 months ago
1Thank You