If the sides of a right-angled triangle are in AP, then the  sines of the acute angles are 

If the sides of a right-angled triangle are in AP, then the  sines of the acute angles are 

  1. A

    35,45

  2. B

    3,13

  3. C

    512,5+12

  4. D

    312,3+12

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Let ABC be the right triangle, right angled at B. Let the sides of the triangle be a-d, a and a + d, with a > d >0. 

    Clearly, AC =a + d is the largest side. 

    So, a + d is the side opposite to the right angle.

    By Pythagoras theorem, we have

    (a+d)2=a2+(ad)24ad=a2a=4d

    Now, sinA=BCAC=aa+d=4d5d=45

    and sinC=ABAC=ada+d=4dd4d+d=35

    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.