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The three sides of a right-triangle are ...

The three sides of a right-triangle are in GP (geometric progression). If the two actue angles be `alphaandbeta`, then `tanbeta` are

A

`(sqrt5+1)/(2)and(sqrt5-1)/(2)`

B

`sqrt((5+1)/(2))andsqrt((5-1)/(2))`

C

`sqrt5and(1)/(sqrt5)`

D

`(sqrt5)/(2)and(2)/(sqrt5)`

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Knowledge Check

  • If the sides of right angled triangle are in G.P then the cosines of the acute angle of the triangle are-

    A
    `(sqrt(5)-1)/2`
    B
    `(sqrt(5)+1)/2`
    C
    `sqrt(sqrt(5)-1)/2`
    D
    `(-(sqrt(5))-1)/2`

  • The circum radius of a right angled triangle is

    A
    1/2 hypotenuse
    B
    `1/2xxbase`
    C
    `1/2xxheight`
    D
    None of these

  • Which are the ratios of the sides of a right triangle of the following ratios ?

    A
    `4:5:6`
    B
    `5:6:7`
    C
    `4:6:7`
    D
    `3:4:5`

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    In a right angular triangle the difference between two acute angles is pi/(18) radian. Find the angles in degrees.

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