The sides of a triangle are 6cm, 7cm, and 10cm. Find the length of the longest side of a similar triangle whose shortest side is 12cm
I'm very lost because it is larger
To find the length of the longest side of a similar triangle, we need to determine the ratio between the corresponding sides of the two triangles.
In this case, we have a triangle with sides 6cm, 7cm, and 10cm, and we are looking for a similar triangle with a shortest side of 12cm.
To find the ratio, we divide the corresponding side lengths of the two triangles. In this case, we divide the longest side length of the first triangle (10cm) by the shortest side length of the first triangle (6cm):
Ratio = 10cm / 6cm
Simplifying this ratio, we get:
Ratio = 5/3
Now, we can use this ratio to find the length of the longest side of the similar triangle. We multiply the ratio by the length of the given shortest side (12cm):
Longest side of the similar triangle = Ratio * Shortest side
= (5/3) * 12cm
Simplifying this expression, we get:
Longest side of the similar triangle = 20cm
Therefore, the length of the longest side of the similar triangle is 20cm.