Question

find
.
the length of the hypotenuse of the right triangles. If the other two sides
a) 12 cm. 16 cm
b) 5 cm, 12 cm
c) 4 cm 5 cm​

Answer 1

Answer:

a) let x be a side = 12cm

let y be other side = 16 cm

acc to pythogoras theorem

${one side}^{2} + {another \: side}^{2} = {hypotenuse}^{2}$

${12}^{2} + {16}^{2} = {hypo}^{2}$

$144 \: + \: 256 = {hypo}^{2} \\ 400 = {hypo}^{2} \\ hypotenuse \: = \: \sqrt{400 } \\ hypotnuse \: = \: 20$

similarly ,

${5}^{2} + {12}^{2} = {hypo}^{2}$

25+144

$\sqrt{169}$

=13cm ( hypo)

similarly,

${4}^{2} + {5}^{2} = {hypo}^{2}$

16 + 25

$\sqrt{41}$

$\sqrt{41 \: } \\ (hypotenuse)$