If the triangles are similar, which ratio shows the relationship of the area of the larger triangle to the area of the smaller triangle?

Answer
9:1
5:8
4:1
6:1

Question

If the triangles are similar, which ratio shows the relationship of the area of the larger triangle to the area of the smaller triangle?
 

Answer
		9:1
		5:8
		4:1
		6:1

anonymous · Answer

attachment

lgbasallote · Answer

area of larger triangle = 1/2 (24)(15) = 12 x 15
area of smaller triangle = 1/2 (8)(5) = 4 x 5

solve those two areas then find the ratio

anonymous · Answer

sorry my browser is going crazy. Can you further explain?

lgbasallote · Answer

the area of a triangle is $\large \frac{bh}{2}$

you know that right?

anonymous · Answer

yea

lgbasallote · Answer

so that's how we got the area of the large triangle and the small triangle....the black line was the base (15 and 5) then the red ones were the height (24 and 8). The question is the ratio of the larger triangle to the smaller triangle so the ratio is

lage triangle : small trianle -> $\frac{\text{large triangle}}{\text{small triangle}}$ agree?

anonymous · Answer

Eh sorry if im alittle dumb, but i still cant get the answer to match the choices above

lgbasallote · Answer

$\LARGE \frac{12 \times 15}{4 \times 5}$

anonymous · Answer

so the answer is 9:1?

lgbasallote · Answer

yup sorry late reply :)

anonymous · Answer

np thanks for the help