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Show that in a right-angled triangle, the hypotenuse is the longest side.Q.1

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Sir please help me to solve the ncert class 9th solution of chapter triangles.How I solve this question of exercise 7.4 question number 1. Find the simplest and easiest solution of this question , also give me the best solution of this question. Show that in a right-angled triangle, the hypotenuse is the longest side.

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  1. Solution:

    It is known that ABC is a triangle right angled at B.

    We know that,

    A +B+C = 180°

    Now, if B+C = 90° then A has to be 90°.

    Since A is the largest angle of the triangle, the side opposite to it must be the largest.

    So, AB is the hypotenuse which will be the largest side of the above right-angled triangle i.e. ΔABC.

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