Question

In the figure, the sides of triangle ABC are produced so AB=BP, BC=CQ, CA=AR. FInd the ratio of the area of PQR to ABC

Answer 1

The area of a triangle is (1/2)*base*height

If triangle 1 is some constant times triangle 2

T1 = k*T2

Then the Areas will relate by

the square of the constant

Answer 2

Area T1 = (1/2)*b*h

Area T2 = (1/2)*(k*b)*(k*h) = k^2 *(1/2)b*h

Answer 3

T2 = k^2 *T1

Answer 4

the ratio of the areas, will be the square of that linear ratio

Answer 5

Is that diagram in Euclid's Elements somewhere?

Answer 6

i d k