A triangle has side lengths 3in, 4in, and 6in. The longest side of a similar triangle is 15in. What is the length of the shortest side of the similar triangle?
The lengths of the sides of a triangle all share the same proportion to the lengths of their corresponding sides of a similar triangle.
If the two unknown lengths are x and y, then: a/3 = b/4 = 15/6
ABC has side lengths of 10 units, 20 units, and 24 units. XYZ is similar to ABC and its longest side is 60 units in length. What is the perimeter of XYZ
The peremiter of triangly rst is 40 what is the perimeter of triange xyz
ABC has side lengths of 10 units, 20 units, and 24 units. XYZ is similar to ABC and its longest side is 60 units in length. What is the perimeter of XYZ?
To solve this problem, we can use the concept of similarity between triangles. When two triangles are similar, their corresponding sides are proportional.
In the given problem, we have a triangle with side lengths 3in, 4in, and 6in. Let's call this triangle ABC, where side AB = 3in, side BC = 4in, and side AC = 6in.
Now, we are given that there is a similar triangle with the longest side measuring 15in. Let's call this triangle DEF, where side DE = 15in.
To find the length of the shortest side of the similar triangle, we need to find the ratio of the corresponding sides between the two triangles.
The ratio of corresponding sides can be found by dividing the corresponding side lengths of the two triangles.
In this case, we can compare side AB of triangle ABC with side DE of triangle DEF.
The ratio of side AB to side DE = AB/DE
To find the length of the shortest side of the similar triangle, we can multiply this ratio by the length of the longest side of the similar triangle.
So, shortest side of the similar triangle = (AB/DE) * longest side of the similar triangle
Now, let's plug in the values:
Ratio of side AB to side DE = AB/DE = 3in/15in = 1/5
Shortest side of the similar triangle = (AB/DE) * longest side of the similar triangle = (1/5) * 15in = 3in
Therefore, the length of the shortest side of the similar triangle is 3in.