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?

Two triangles share a vertex. The left triangle has height measuring 24 and base measuring 15. The right triangle has height measuring 8 and base measuring 5.

5:8

6:1

4:1

9:1

Answer 1

Well, what do you think the 5 matches up with in the bigger triangle?

Answer 2

15

Answer 3

Ratio of 15 to 5?

Answer 4

1 to 3

Answer 5

And area varies in the square, do you know what I mean by this?

Answer 6

no i dont can you please explain.

Answer 7

OK, if you don't know that, do you know the formula for triangle area?

Answer 8

yes its 1/2bh

Answer 9

OK, that is another way to do it, just do that for each triangle and compare the results for your answer.

Answer 10

ok . thank you

Answer 11

ur welcome.

Answer 12

so it would be 9:1

Answer 13

Yup (3^2)

Answer 14

thank you soo much for the help.

Answer 15

Sure, np.