In a right-angled triangle show that the hypotenuse is the longest side.


Answer:


Step by Step Explanation:
  1. Let PQRPQRPQR be a right-angled triangle such that Q=90.Q=90.Q=90.
      P Q R
  2. As the sum of angles of a triangle is 180180180.

    Now, in PQR,PQR,PQR, we have [Math Processing Error] As the measure of QQ is equal to the sum of measures of PP and RR, we have [Math Processing Error] Also, [Math Processing Error]
  3. By equation  (1)  (1)  and  (2)  (2) , we have PR>QR and PR>PQ As PR is greater than both the sides, PR is longest side.

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