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1 year ago

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Mathematics

1 answer:

sesenic [268]1 year ago

6 0

9514 1404 393

Answer:

a = 6
b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

Side A in the smaller triangle is ...

A/15 = 4/10

A = (4/10)(15) = 6

The ratio of larger to smaller is the inverse of the above ratio, so ...

B/9 = 10/4

B = (10/4)(9) = 22.5

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