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If P Q R S is a square, then write the...

If `P Q R S` is a square, then write the measure of `/_S R P`

Text Solution

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given that PQRS is a square,
consider a traingle `PSR`
`PS=RS`[sides of a square]
so it is a isosceles triangle.
`/_SRP=/_RPS`
let `/_SRP=/_RPS=x^@`
`/_PSR=90^@` [angle of a square]
so
`/_PSR+/_SRP+/_RPS=180^@`
`2x=180^@-90^@`
`x=45^@`
hence `/_SRP=45^@`
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Knowledge Check

  • If the sum of the square of p and twice of q is equal to the square root of the sum of the square of r and s, write a formula with p as the subject.

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    ` p = sqrt(2q- r^(2) - s^(2))`
    D
    ` p = sqrt(1-k^(2))`

  • Let a:~(p ^^ ~r) vv (~ q vv s ) and b:(p vv s ) lar (q ^^ r) . If the truth values of p and q are true and that of r and s are false, then the truth values of a and b are respectively . . .

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