The two triangles below are similar (but not drawn to scale) find the value of c round your answer to he nearest tenth.
Triangle A
33.2 inches
23.1inches
Triangle B
17.7 inches
In similar triangles, the corresponding sides are in proportion. We can set up a proportion to find the value of c:
(33.2 / 23.1) = (17.7 / c)
Cross-multiplying:
33.2 * c = 23.1 * 17.7
Simplifying:
33.2c = 408.87
Dividing both sides by 33.2:
c = 408.87 / 33.2
c ≈ 12.32
Therefore, the value of c rounded to the nearest tenth is 12.3 inches.