In a right-angled triangle show that the hypotenuse is the longest side.
Answer:
- Let PQRPQRPQR be a right-angled triangle such that ∠Q=90∘.∠Q=90∘.∠Q=90∘.
- As the sum of angles of a triangle is 180∘180∘180∘.
Now, in △PQR,△PQR,△PQR, we have [Math Processing Error] As the measure of ∠Q∠Q is equal to the sum of measures of ∠P∠P and ∠R∠R, we have [Math Processing Error] Also, [Math Processing Error] - 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.