in two triangles, the ratio of the areas is 4: 3 and the ratio of their heights is 3: 4. find the ratio of their bases. Choose the correct option.
A) 2 : 3  B) 4 : 5  C) 16 : 9  D) 7 : 9  E) 8 : 5
<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">1 / (3/4)</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">(4/3) * (4/3)</gadget>
<output>16/9 = around 1.777778</output>

<result>C</result>
in two triangles, the ratio of the areas is 4: 3 and the ratio of their heights is 3: 4. find the ratio of their bases.
multiply(divide(4, 3), inverse(divide(3, 4)))
sol . let the bases of the two triangles be x and y and their heights be 3 h and 4 h respectively . then , ( ( 1 / 2 ) x xx 3 h ) / ( 1 / 2 ) x y x 4 h ) = 4 / 3  x / y = ( 4 / 3 x 4 / 3 ) = 16 / 9 required ratio = 16 : 9 . ans : c