a triangle has sides 9cm,12cm,18cm.the longest side of a similar triangle measures12cm.what is the length of other sides
since 12/18 = 2/3, multiply the other sides by 2/3 to get the corresponding lengths.
6 and 8
To find the lengths of the other sides of the similar triangle, we can use the concept of proportionality.
Let's set up a proportion using the corresponding sides of the two triangles:
9cm / 12cm = x / 12cm
Simplifying the equation, we have:
9/12 = x/12
To solve for x, we can cross-multiply:
9 * 12 = 12 * x
108 = 12x
Dividing both sides of the equation by 12, we get:
108/12 = x
9 = x
Therefore, the length of the other sides of the similar triangle is 9 cm.
To find the lengths of the other sides of a similar triangle, we can use the concept of proportional relationships.
In a similar triangle, the ratios of the corresponding sides are equal.
Let's find the ratio of the corresponding sides in the given triangles:
Ratio of the longest sides:
12 cm / 18 cm = 2/3
To find the lengths of the other sides, we can multiply this ratio by the corresponding side lengths from the first triangle.
Length of the first triangle's sides:
9 cm, 12 cm, 18 cm
Length of the second triangle's sides:
(9 cm) * (2/3) = 6 cm
(12 cm) * (2/3) = 8 cm
(18 cm) * (2/3) = 12 cm
Therefore, the lengths of the other sides of the similar triangle are 6 cm, 8 cm, and 12 cm.