Question

Triangle ABC has side lengths 42, 21, and 35 units. The shortest side of a triangle similar to

triangle ABC is 9 units long. Find the other lengths of the triangle.

Answer 1

since the triangles are similar, you have to find the ratio between them and multiply the other sides by that ratio. 9/21=3/7, 3/7x42 = 18, 3/7x35 = 15

the other lengths are 18 and 15

Answer 2

Explanation:

Using the ratio of corresponding side lengths, we have:

x/42 = 9/35

y/21 = 9/35

z/35 = 9/35

Solving for x, y, and z:

x = (9/35) * 42 = 14

y = (9/35) * 21 = 7

z = 9

So the other two sides of the smaller triangle are 14 and 7 units.