Question

a right angled triangular plate of smaller side measuring 5 cm and 12cm is rotated about the longest side to trace a number find the ratio of volumes of two cones.​

Answer 1

Step-by-step explanation:

In triangle ABC,

${ AB }^{2} + {BC}^{2} = {AC}^{2}$

( Pythagoras' Theorem )

Therefore,

${12}^{2} + {5}^{2} = {AC}^{2} \\ = {AC}^{2} = 144 + 25 \\ = {AC}^{2} = 169 \\ = AC = \sqrt{169 } = 13cm$

Now,

Now,Let, AB = a,

Now,Let, AB = a, BC = b,

Now,Let, AB = a, BC = b,and, AC = c

$ar(ABC) = \frac{1}{2} \times b \times a = \frac{1}{2} \times c \times BO - - - - - - - area \: of \: triangle = \frac{1}{2} \times base \times height$