Find the remaining sides of a 30°-60°-90° triangle if the longest side is 7. (Enter your answers as a comma-separated list.)

Respuesta :

The longest side is a 90° which is seven so the 30° is twice a small which is 3.5 in the 60° is 3.5 square root of three

The sides of the triangle 30-60-90 are                         7/2 , 7/2*√3 and 7.

What is ?

The is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is right angle.

Here, in the 30-60-90 ∆PQR

<R =30 ,  <P =60 and <Q =90

As we know, The length of the which is opposite to 90 is

               Side PR = 7

As per the Theorem, the side opposite to the 30 angle is

              Side PQ = 1/2* PR

              Side PQ = 7/2

And, the  side opposite to 60 angle is

              Side QR = √3PQ

              Side QR = 7/2*√3

Hence, The side’s of   30-60-90 are 7/2 , 7/2*√3 and 7 respectively.

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