Question

Right angle triangle if sum of the squares of the sides making right angle is 169 then what is the length of the hypotenuse

Answer 1

Hey mate

Given ,
Sum of sides of a right angled triangle is 169

so, side 1 + side 2 = 169
S1 + S2 = 169

as we know ,
hypotenuese square equals side one square plus side two square

by apply that we get ,
${h}^{2} = {s}^{2} + {s}^{2} \\ {h}^{2} = 169 \\ {h}^{2} = 13 \times 13 \\ h = \sqrt{ ({13)}^{2} } \\ h \: = 13$