Question

GIVEN △ABC ~ △PQR, if AB/PQ =1/3, then find ar△ABC/ ar△PQR

Answer 1

TRIANGLE ABC SIMILAR TO TRIANGLE PQR.

AB/PQ = 1/3.

WE KNOW THAT THE RATIO OF THE AREA OF TWO SIMILAR TRIANGLE IS EQUAL TO THE SQUARE OF IT'S CORRESPONDING SIDE.

THEREFORE,

AR(ABC)/AR(PQR) = (AB/PQ)²

AR(ABC)/AR(PQR) = (1/3)²

AR(ABC) / AR(PQR) = 1/9

THEREFORE,

THE RATIO OF THE AREA OF TWO SIMILAR TRIANGLE ABC AND PQR = 1:9