Monique is using similar triangles in her graphic-design project. The triangles are isosceles. One has a base of 5 inches and legs of 7.5 inches. If the other triangle has a base of 14 inches, how long are the legs?
Since the triangles are similar, you can set up ratios of their corresponding sides.
solve for x
x/14 = 7.5/5
To find the lengths of the legs of the second triangle, we can use the concept of similar triangles. Since the triangles are isosceles, it means that they have equal angles and proportional sides.
In this case, we can set up a ratio using the corresponding sides of the two triangles. Let's call the length of the legs of the second triangle "x". The ratio of the lengths of the legs of the two triangles is:
(legs of second triangle) / (legs of first triangle) = x / 7.5
We can then set up a proportion using this ratio:
x / 7.5 = (14 inches)/(5 inches)
To find the value of "x", we can cross-multiply and solve for it:
x = (7.5 * 14) / 5
x = 21
Therefore, the legs of the second triangle are 21 inches long.