Question

show that in a right triangle hypotenuse is the longest side

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

$\textbf{ Given }$ : ABC is right triangle.

$\textbf{ To prove }$ : AC > AB and AC > BC.

$\textbf{ Proof }$ :

/_ A + /_ B + /_ C = 180° [ Angle sum property ]

/_ A + 90° + /_C = 180° [ angle B = 90° ]

/_A + /_C = 90°

/_A + /_C = /_B

Therefore, /_B > /_ A and /_B > /_C

Hence, AC > BC and AC > AB

$\boxed{ \textsf{ \red{ Hence\:proved }}}$

$\textit{ Have great future ahead! }$

Answer 2

HOPE HEIP YOU

PLEASE FIND ME AS BRILLIANT