there are two triangles one leg is 160m in the first triangle. In the Second it is h. The hypothenus is 144. the other is 288. What is the h on the smaller triangle?

Question

anonymous · Answer

Assuming similar triangles, set up a ratio

hero · Answer

Well, I realize that they are similar because they're apparently right triangles

anonymous · Answer

we are setting up a proportion

anonymous · Answer

yes they are right angles

anonymous · Answer

Not all right triangles are similar

anonymous · Answer

they are similar though in this problem

anonymous · Answer

Well the 160 belongs to the larger triangle, because the hypotenuse is the largest side of a triangle.  $$\frac{288}{160}=\frac{144}{x}$$

anonymous · Answer

okay thanks for the proportion can help me solve it