Question

The ratio of areas of two triangle having equal base is equal to the ratio of corresponding ___________

Answer 1

HEY MATE HERE IS UR ANSWER

THE RATIO OF TWO TRIANGLES HAVING EQUAL BASES IS

EQUAL TO THE RATIO OF A CORRESPONDING HEIGHT.


THIS IS BECAUSE IN THIS ITS GIVEN THAT RATIO OF AREA

OF TWO TRIANGLES ARE EQUAL . AND ALSO GIVEN THAT

THE BASE IS EQUAL .

AND NOW WE KNOW THAT AREA OF TRIANGLE IS

1/2 ( B × H ) .

NOW ACCORDING TO QUESTION LETS ASSUME THAT AREA

OF TRIANGLE 1 =. A 1/2 ( B × H )

SIMILARLY AREA OF TRIANGLE 2 = B 1/2 ( B × H' ).

NOW ITS GIVEN THAT AREA IS EQUAL THEREFORE WE HAVE

AREA OF TRIANGLE 1 = AREA OF TRIANGLE 2

THAT IS

A 1/2 ( B × H ) = B 1/2 ( B × H' )

NOW WE ALSO KNOW BASE IS EQUAL THEREFORE WE CAN

CANCEL THE BASE FROM LHS AND RHS

THAT IS

1/2 ( H ). = 1/2 ( H' )

FROM THIS WE HAVE

H = H'

SO THE ANSWER IS

THE RATIO OF AREAS OF TWO TRIANGLES HAVING EQUAL

BASES IS EQUAL TO THE RATIO OF CORRESPONDING
HEIGHT

Answer 2

fried this is your answer
the ratio of areas of two triangles having equal base is equal to the ratio of corresponding their HEIGHT